507268872 has 256 divisors, whose sum is σ = 1625702400. Its totient is φ = 145152000.

The previous prime is 507268871. The next prime is 507268873. The reversal of 507268872 is 278862705.

507268872 is a `hidden beast` number, since 507 + 2 + 68 + 87 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (507268871) and next prime (507268873).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (507268871) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5229528 + ... + 5229624.

It is an arithmetic number, because the mean of its divisors is an integer number (6350400).

Almost surely, 2^507268872 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 507268872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812851200).

507268872 is an abundant number, since it is smaller than the sum of its proper divisors (1118433528).

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

507268872 is a wasteful number, since it uses less digits than its factorization.

507268872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 507268872 is about 22522.6302194038. The cubic root of 507268872 is about 797.5282417124.

The spelling of 507268872 in words is "five hundred seven million, two hundred sixty-eight thousand, eight hundred seventy-two".