507288960 has 256 divisors, whose sum is σ = 1856563200. Its totient is φ = 130775040.

The previous prime is 507288953. The next prime is 507288973. The reversal of 507288960 is 69882705.

507288960 is a `hidden beast` number, since 507 + 2 + 8 + 89 + 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 535207 + ... + 536153.

It is an arithmetic number, because the mean of its divisors is an integer number (7252200).

Almost surely, 2^507288960 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 507288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928281600).

507288960 is an abundant number, since it is smaller than the sum of its proper divisors (1349274240).

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

507288960 is a wasteful number, since it uses less digits than its factorization.

507288960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 988 counting only the distinct ones).

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

The square root of 507288960 is about 22523.0761664565. The cubic root of 507288960 is about 797.5387690262.

The spelling of 507288960 in words is "five hundred seven million, two hundred eighty-eight thousand, nine hundred sixty".