504004704 has 96 divisors (see below), whose sum is σ = 1577802240. Its totient is φ = 137736192.

The previous prime is 504004693. The next prime is 504004733. The reversal of 504004704 is 407400405.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 849 + ... + 31760.

It is an arithmetic number, because the mean of its divisors is an integer number (16435440).

Almost surely, 2^504004704 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 504004704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788901120).

504004704 is an abundant number, since it is smaller than the sum of its proper divisors (1073797536).

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

504004704 is a wasteful number, since it uses less digits than its factorization.

504004704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32652 (or 32644 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 504004704 is about 22450.0490868060. The cubic root of 504004704 is about 795.8139174294.

The spelling of 504004704 in words is "five hundred four million, four thousand, seven hundred four".