Sorry, but they are not safe at all.
Why I am saying that?
Well, my "regular" bank asks me to do a password and my account number to start their online banking, after that I have to give them a security key (which only I know) and doing something in my account need a transaction number and has to be done in a short time limit.
And getting a new password needs more then the last digits of an account number.
There are safe places - Paypal is none.