507262864 has 40 divisors (see below), whose sum is σ = 1043290368. Its totient is φ = 238103040.

The previous prime is 507262849. The next prime is 507262879. The reversal of 507262864 is 468262705.

It is an interprime number because it is at equal distance from previous prime (507262849) and next prime (507262879).

It is a super-2 number, since 2×507262864² = 514631226386964992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115069 + ... + 119395.

Almost surely, 2^507262864 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 507262864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521645184).

507262864 is an abundant number, since it is smaller than the sum of its proper divisors (536027504).

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

507262864 is a wasteful number, since it uses less digits than its factorization.

507262864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4783 (or 4777 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 507262864 is about 22522.4968420466. The cubic root of 507262864 is about 797.5250931069.

The spelling of 507262864 in words is "five hundred seven million, two hundred sixty-two thousand, eight hundred sixty-four".