Unfortunately, as strongline says, that would be no. Passwords are stored with non-reversible encryption. I understand that you feel like you have a use case for this feature, but it would be a bad thing for security.
There's more information in this old Server Fault question, but... no. I wouldn't recommend attempting it. I also wouldn't recommend attempting to brute-force the password (basically what strongline is recommending). Depending on how you do it, you might end up offending your IDS. If you do it without written permission from your boss it could go badly for you.
I'd recommend instead trying to script a way to change the password on 900 servers. Obviously, I don't know anything about the application in question or where it stores the password, but it's more likely to succeed than trying to get the old password.