You might have typoed the SN, since Remington only made about 360,000 of the petite #4 Rolling Block rifles, 1890-1933.
They were classed/sold as "Boy's Rifles".
Some were made with round bbls, some with octagonal bbls, in both solid or takedown frames.
They are ID by being the only RB rifle w/o a lower action tang.
The #4 was chambered only for RF cartidges.
I've converted solid-frame .32RF specimens to centerfire, as the commercially-available .32 Short Colt will chamber/fire safely - but wouldn't recommend doing so with a thinner takedown frame.