507085632 has 84 divisors (see below), whose sum is σ = 1484473536. Its totient is φ = 165423360.

The previous prime is 507085613. The next prime is 507085637. The reversal of 507085632 is 236580705.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507085637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17707 + ... + 36437.

It is an arithmetic number, because the mean of its divisors is an integer number (17672304).

Almost surely, 2^507085632 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 507085632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742236768).

507085632 is an abundant number, since it is smaller than the sum of its proper divisors (977387904).

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

507085632 is a wasteful number, since it uses less digits than its factorization.

507085632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18796 (or 18783 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 507085632 is about 22518.5619434279. The cubic root of 507085632 is about 797.4322001565.

The spelling of 507085632 in words is "five hundred seven million, eighty-five thousand, six hundred thirty-two".