I Googled your PSN error code and found the following thread, may or may not be related but worth searching the internet for the error code, if you haven't already done so.
http://community.eu.playstation.com/t5/PS4/GT-Sport-Error-code-np-32470-6/m-p/25508162
1. Log out via quick menu or the power options far right of XMB.
2. Log back in with the appear online option.
3. Head to your user profile and change online status to appear offline.
4. Once this is done initially appear offline/online should toggle normally.
If that doesn't work then try this:
- Settings > Account Management > Sign Out
- Quick Menu (via holding down PS button) > Power > log out of PS4
- Restart PS4
- On Start up screen, click Options and click ‘Log in with online status’
- Settings > Account Management > Sign in