507948032 has 44 divisors (see below), whose sum is σ = 1075166280. Its totient is φ = 239026176.

The previous prime is 507948019. The next prime is 507948041. The reversal of 507948032 is 230849705.

It is a super-2 number, since 2×507948032² = 516022406425346048, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2819 + ... + 31997.

Almost surely, 2^507948032 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 507948032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537583140).

507948032 is an abundant number, since it is smaller than the sum of its proper divisors (567218248).

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

507948032 is a wasteful number, since it uses less digits than its factorization.

507948032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29216 (or 29198 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 507948032 is about 22537.7024561067. The cubic root of 507948032 is about 797.8840081576.

The spelling of 507948032 in words is "five hundred seven million, nine hundred forty-eight thousand, thirty-two".