diff --git a/meetup/api.py b/meetup/api.py
index 65d7fe9..29c5612 100644
--- a/meetup/api.py
+++ b/meetup/api.py
@@ -177,12 +177,11 @@ def _call(self, service_name, parameters=None, **kwargs):
                                                               self.rate_limit.limit,
                                                               self.rate_limit.reset))
 
-        if response.status_code == 401:
-            raise exceptions.HttpUnauthorized
-        if response.status_code == 404:
-            raise exceptions.HttpNotFoundError
-        if response.status_code == 410:
-            raise exceptions.HttpNotAccessibleError
+        # We handle 429 (Too Many Requests) errors down below by sleeping for the cool down time, then trying again.
+        # Raise an exception for any other 4xx or 5xx errors here
+        # TODO: Optimize this logic
+        if response.status_code != requests.codes.too_many_requests:
+            response.raise_for_status()
 
         # If we have two or less remaining calls in the period, wait (if the wait flag is set).
         # I tried only waiting after a 429 error, and ended getting locked out doing parallel testing.
@@ -194,7 +193,7 @@ def _call(self, service_name, parameters=None, **kwargs):
             logger.warning('Approaching the rate limit.  Sleeping for {0} seconds'.format(sleep_time))
             sleep(sleep_time)
 
-        if response.status_code == 429:
+        if response.status_code == requests.codes.too_many_requests:
             logger.error('Request limit exceeded.')
             if self.overlimit_wait:
                 # We should have already waited
diff --git a/tests/test_client.py b/tests/test_client.py
index dfdfc88..94dc990 100644
--- a/tests/test_client.py
+++ b/tests/test_client.py
@@ -1,5 +1,6 @@
 import os
 import pytest
+from requests import HTTPError
 
 from meetup import exceptions
 from meetup.api import API_KEY_ENV_NAME, Client, MeetupObject
@@ -25,8 +26,9 @@ def test_empty_key(self, api_client):
     def test_invalid_key(self, api_client):
         # Same with invalid API Key
         api_client.api_key = 'foobarbaz'
-        with pytest.raises(exceptions.HttpUnauthorized):
+        with pytest.raises(HTTPError) as excinfo:
             api_client.GetDashboard()
+        assert '401 Client Error' in str(excinfo.value)
 
 
 @pytest.mark.incremental
diff --git a/tests/test_groups.py b/tests/test_groups.py
index 46488f4..d4b44f0 100644
--- a/tests/test_groups.py
+++ b/tests/test_groups.py
@@ -1,6 +1,6 @@
 import pytest
+from requests import HTTPError
 
-from meetup import exceptions
 from meetup.api import Client, MeetupObject
 
 
@@ -22,14 +22,16 @@ def test_get_valid_group(api_client, group_name):
 
 @pytest.mark.parametrize("group_name", invalid_groups)
 def test_get_invalid_group(api_client, group_name):
-    with pytest.raises(exceptions.HttpNotFoundError):
+    with pytest.raises(HTTPError) as excinfo:
         api_client.GetGroup({'urlname': group_name})
+    assert '404 Client Error' in str(excinfo.value)
 
 
 @pytest.mark.parametrize("group_name", inaccessible_groups)
 def test_get_inaccessible_group(api_client, group_name):
-    with pytest.raises(exceptions.HttpNotAccessibleError):
+    with pytest.raises(HTTPError) as excinfo:
         api_client.GetGroup({'urlname': group_name})
+    assert '410 Client Error' in str(excinfo.value)
 
 
 @pytest.mark.parametrize("group_name", valid_groups)