Browning 32 cal. model 1910 serial # 456534. Is it worth $500 that this guys is asking for it
FN marked models range form $100 to $475 (98%).
Browning Arms Company marked 7.65 mm models, imported from 1954 to 1968, range from $120 to $550 (98%).
The above prices dependent on mechanical condition and remaining original finish.
What two old dogs says is true.
However your pistol was manufactured just prior to WWII (likely in 1940) and some collectors are more interested in these. Your serial number indicates it was produced at a time that was Japan purchasing many pistols so there is a chance it has a slightly higher value.
Can you post any pictures especially of the serial number? Any holter with this one?