508872960 has 216 divisors, whose sum is σ = 1777985664. Its totient is φ = 134369280.

The previous prime is 508872943. The next prime is 508872971. The reversal of 508872960 is 69278805.

508872960 is a `hidden beast` number, since 508 + 87 + 2 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1877625 + ... + 1877895.

Almost surely, 2^508872960 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 508872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888992832).

508872960 is an abundant number, since it is smaller than the sum of its proper divisors (1269112704).

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

508872960 is a wasteful number, since it uses less digits than its factorization.

508872960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 508872960 is about 22558.2126951583. The cubic root of 508872960 is about 798.3680063431.

The spelling of 508872960 in words is "five hundred eight million, eight hundred seventy-two thousand, nine hundred sixty".