507978432 has 112 divisors (see below), whose sum is σ = 1608307680. Its totient is φ = 156294144.

The previous prime is 507978407. The next prime is 507978469. The reversal of 507978432 is 234879705.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11158 + ... + 33770.

It is an arithmetic number, because the mean of its divisors is an integer number (14359890).

Almost surely, 2^507978432 is an apocalyptic number.

507978432 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507978432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804153840).

507978432 is an abundant number, since it is smaller than the sum of its proper divisors (1100329248).

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

507978432 is a wasteful number, since it uses less digits than its factorization.

507978432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22647 (or 22631 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 507978432 is about 22538.3768714608. The cubic root of 507978432 is about 797.8999252649.

The spelling of 507978432 in words is "five hundred seven million, nine hundred seventy-eight thousand, four hundred thirty-two".