504495264 has 384 divisors, whose sum is σ = 1788272640. Its totient is φ = 120766464.

The previous prime is 504495217. The next prime is 504495323. The reversal of 504495264 is 462594405.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6385977 + ... + 6386055.

It is an arithmetic number, because the mean of its divisors is an integer number (4656960).

Almost surely, 2^504495264 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 504495264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894136320).

504495264 is an abundant number, since it is smaller than the sum of its proper divisors (1283777376).

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

504495264 is a wasteful number, since it uses less digits than its factorization.

504495264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 504495264 is about 22460.9720181474. The cubic root of 504495264 is about 796.0720287000.

The spelling of 504495264 in words is "five hundred four million, four hundred ninety-five thousand, two hundred sixty-four".