504804 has 48 divisors (see below), whose sum is σ = 1290240. Its totient is φ = 153120.

The previous prime is 504799. The next prime is 504817. The reversal of 504804 is 408405.

504804 = T₂₇ + T₂₈ + ... + T₁₄₄.

504804 = 137² + 138² + ... + 159².

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8527 + ... + 8585.

It is an arithmetic number, because the mean of its divisors is an integer number (26880).

2⁵⁰⁴⁸⁰⁴ 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 504804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645120).

504804 is an abundant number, since it is smaller than the sum of its proper divisors (785436).

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

504804 is a wasteful number, since it uses less digits than its factorization.

504804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 504804 is about 710.4956016753. The cubic root of 504804 is about 79.6234386336.

The spelling of 504804 in words is "five hundred four thousand, eight hundred four".