508642560 has 216 divisors, whose sum is σ = 1788827040. Its totient is φ = 133410816.

The previous prime is 508642553. The next prime is 508642577. The reversal of 508642560 is 65246805.

508642560 is a `hidden beast` number, since 5 + 0 + 8 + 642 + 5 + 6 + 0 = 666.

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 23 ways as a sum of consecutive naturals, for example, 771511 + ... + 772169.

Almost surely, 2^508642560 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 508642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894413520).

508642560 is an abundant number, since it is smaller than the sum of its proper divisors (1280184480).

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

508642560 is a wasteful number, since it uses less digits than its factorization.

508642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 508642560 is about 22553.1053294219. The cubic root of 508642560 is about 798.2474970534.

The spelling of 508642560 in words is "five hundred eight million, six hundred forty-two thousand, five hundred sixty".