BUG #13819: What is maximum limit on max_connections?

The following bug has been logged on the website:

Bug reference:      13819
Logged by:          Ashish Chauhan
Email address:      ashish.chauhan@support.com
PostgreSQL version: 9.4.1
Operating system:   Ubuntu
Description:

Hi,

I am new to this community and not sure this is right place to ask question
so please guide me if I have to ask question some other place.

Currently, we have 300 max_connection on production and we are feeling we
need to increase it to 500. I want to know what is recommended maximum limit
for max_connection? Do we need to start thinking of pooling?

Thanks for your help in advance.

Thanks
-Ashish