507523968 has 384 divisors, whose sum is σ = 1811642400. Its totient is φ = 141087744.

The previous prime is 507523943. The next prime is 507523979. The reversal of 507523968 is 869325705.

It is a happy number.

507523968 is a `hidden beast` number, since 507 + 52 + 3 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13716846 + ... + 13716882.

Almost surely, 2^507523968 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 507523968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905821200).

507523968 is an abundant number, since it is smaller than the sum of its proper divisors (1304118432).

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

507523968 is an frugal number, since it uses more digits than its factorization.

507523968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 507523968 is about 22528.2926117360. The cubic root of 507523968 is about 797.6619066397.

The spelling of 507523968 in words is "five hundred seven million, five hundred twenty-three thousand, nine hundred sixty-eight".