The error 80004005-501-4B9-560 is seen when synchronizing Microsoft Outlook with Exchange Server 2010, this error generally occurs when Outlook is trying to sync forms with public folder. So if a user gets this error you will probably find they use public folders.
I have seen this error a few times, however there has never been an actual issue. See possible fix’s below.
Error details :-
16:06:34 Synchronizer Version 14.0.7187
16:06:34 Synchronizing Mailbox ‘USER NAME HERE’
16:06:34 Synchronizing Hierarchy
16:06:34 Terminated in error
16:06:34 The client operation failed.
16:06:34 Microsoft Exchange Information Store
16:06:34 For more information on this failure, click the URL below:
16:06:34 http://www.microsoft.com/support/prodredirect/outlook2000_us.asp?err=80004005-501-4b9-940 (note this Microsoft URL no longer works)