508056960 has 192 divisors, whose sum is σ = 1711482480. Its totient is φ = 128176128.

The previous prime is 508056947. The next prime is 508057007. The reversal of 508056960 is 69650805.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 692754 + ... + 693486.

Almost surely, 2^508056960 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 508056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855741240).

508056960 is an abundant number, since it is smaller than the sum of its proper divisors (1203425520).

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

508056960 is a wasteful number, since it uses less digits than its factorization.

508056960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 508056960 is about 22540.1188994202. The cubic root of 508056960 is about 797.9410387276.

The spelling of 508056960 in words is "five hundred eight million, fifty-six thousand, nine hundred sixty".