506476160 has 64 divisors (see below), whose sum is σ = 1274551200. Its totient is φ = 191923200.

The previous prime is 506476151. The next prime is 506476177. The reversal of 506476160 is 61674605.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 506476160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8666 + ... + 32985.

Almost surely, 2^506476160 is an apocalyptic number.

It is an amenable number.

506476160 is an abundant number, since it is smaller than the sum of its proper divisors (768075040).

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

506476160 is a wasteful number, since it uses less digits than its factorization.

506476160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41689 (or 41677 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 506476160 is about 22505.0252166044. The cubic root of 506476160 is about 797.1125911254.

The spelling of 506476160 in words is "five hundred six million, four hundred seventy-six thousand, one hundred sixty".