rusharrold - What you have there is a 5906TSW with the optional factory installed spring loaded decocker. The decocker safety lowers the hammer and then returns the gun to the ready position. In the standard 5906TSW, you would have a safety/decocker, which safely lowers the hammer AND acts as a trigger safety preventing the gun from firing when the trigger is pulled.
Many shooters, myself included, prefer the spring loaded decocker. It's just personal preference. However, as to your specific question:
"Question is with a round in the chamber and the hammer down will this gun fire if droped or bumped?"
the answer is no.
Hope this helps.
Pete T. (aka Ted1Trading)