diff --git a/lisp/frame.el b/lisp/frame.el
index bf984da0d62..884c2427c0d 100644
--- a/lisp/frame.el
+++ b/lisp/frame.el
@@ -2851,7 +2851,7 @@ Values smaller than 0.2 sec are treated as 0.2 sec."
   "How many times to blink before using a solid cursor on NS, X, and MS-Windows.
 Use 0 or negative value to blink forever."
   :version "24.4"
-  :type 'natnum
+  :type 'integer
   :group 'cursor)
 
 (defvar blink-cursor-blinks-done 1
diff --git a/lisp/url/url-vars.el b/lisp/url/url-vars.el
index 7e2290217d0..ef4b8b2841b 100644
--- a/lisp/url/url-vars.el
+++ b/lisp/url/url-vars.el
@@ -331,7 +331,7 @@ undefined."
 (defcustom url-max-redirections 30
   "The maximum number of redirection requests to honor in a HTTP connection.
 A negative number means to honor an unlimited number of redirection requests."
-  :type 'natnum
+  :type 'integer
   :group 'url)
 
 (defcustom url-confirmation-func 'y-or-n-p