I can state with near complete confidence that the gun was manufactured in 1905. My reasoning is that all guns made between 58,000 and 62,450 were either made in late 1904 and mid-1905, so your number being close to the end of this era revolver makes it a 1905 manufacture. The 58,000 represents the introduction of what many are now calling the Model 1905 with the newly introduced square-butt. Both round-butt and square-butt revolvers were made during the production of these 4,450 guns. The 62,450 represents the introduction of the 5th screw.
The serial number, however, has little bearing on when it was shipped and examples of shipping are all over the map. 1905 to 1907 is the best guess, especially with target revolvers. Worth getting a letter, since many targets were ordered by bullseye shooters, some were famous.
Your barrel has been replaced at some point in time. Check to see if there is a serial number on the bottom flat of the barrel. If it matches, the gun would have likely went back to the factory at some point relatively early in its life.
Let me add some notes I have on caliber stampings.
Model 1902 2-line caliber stampings started with the 1902 model and ran to 1908.
Model 1905 had single line 38 S&W SPECIAL CTG starting in 1908, around the introduction of the 2nd Change.