Other contributors have said "Horsepower of the Harley V rod muscle?" is the same question as "How much horsepower does a 2004 harley v rod have?" If you believe that these are not asking the same thing and should be answered differently, click here
How much horsepower does a 2004 harley v rod have?
If its a base or Commemorative Edition, it puts out 350HP, but if its a Z06 or Z06 Commemorative Edition, it puts out 405HP according to the manufacturer.