504372960 has 384 divisors, whose sum is σ = 2174376960. Its totient is φ = 106334208.

The previous prime is 504372941. The next prime is 504372977. The reversal of 504372960 is 69273405.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 392479 + ... + 393761.

It is an arithmetic number, because the mean of its divisors is an integer number (5662440).

Almost surely, 2^504372960 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 504372960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087188480).

504372960 is an abundant number, since it is smaller than the sum of its proper divisors (1670004000).

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

504372960 is a wasteful number, since it uses less digits than its factorization.

504372960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 504372960 is about 22458.2492639119. The cubic root of 504372960 is about 796.0076933341.

The spelling of 504372960 in words is "five hundred four million, three hundred seventy-two thousand, nine hundred sixty".