504864 has 36 divisors (see below), whose sum is σ = 1436526. Its totient is φ = 168192.

The previous prime is 504857. The next prime is 504871. The reversal of 504864 is 468405.

It is an interprime number because it is at equal distance from previous prime (504857) and next prime (504871).

It can be written as a sum of positive squares in only one way, i.e., 501264 + 3600 = 708^2 + 60^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a zygodrome in base 3.

It is an unprimeable number.

504864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 589 + ... + 1164.

2⁵⁰⁴⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

504864 is an abundant number, since it is smaller than the sum of its proper divisors (931662).

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

504864 is a wasteful number, since it uses less digits than its factorization.

504864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 504864 is about 710.5378244682. The cubic root of 504864 is about 79.6265931365.

The spelling of 504864 in words is "five hundred four thousand, eight hundred sixty-four".