507504 has 40 divisors (see below), whose sum is σ = 1336720. Its totient is φ = 165888.

The previous prime is 507503. The next prime is 507523. The reversal of 507504 is 405705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4602 + ... + 4710.

It is an arithmetic number, because the mean of its divisors is an integer number (33418).

2⁵⁰⁷⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668360).

507504 is an abundant number, since it is smaller than the sum of its proper divisors (829216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

507504 is a wasteful number, since it uses less digits than its factorization.

507504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 507504 is about 712.3931498828. The cubic root of 507504 is about 79.7651445445.

The spelling of 507504 in words is "five hundred seven thousand, five hundred four".