504312960 has 256 divisors, whose sum is σ = 1711641600. Its totient is φ = 126074880.

The previous prime is 504312947. The next prime is 504312979. The reversal of 504312960 is 69213405.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2202126 + ... + 2202354.

It is an arithmetic number, because the mean of its divisors is an integer number (6686100).

Almost surely, 2^504312960 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 504312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855820800).

504312960 is an abundant number, since it is smaller than the sum of its proper divisors (1207328640).

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

504312960 is a wasteful number, since it uses less digits than its factorization.

504312960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 504312960 is about 22456.9134121321. The cubic root of 504312960 is about 795.9761278330.

The spelling of 504312960 in words is "five hundred four million, three hundred twelve thousand, nine hundred sixty".