507832 has 32 divisors (see below), whose sum is σ = 1083600. Its totient is φ = 221184.

The previous prime is 507827. The next prime is 507839. The reversal of 507832 is 238705.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 507797 and 507806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507839) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1848 + ... + 2104.

2⁵⁰⁷⁸³² is an apocalyptic number.

507832 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 507832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541800).

507832 is an abundant number, since it is smaller than the sum of its proper divisors (575768).

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

507832 is a wasteful number, since it uses less digits than its factorization.

507832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 507832 is about 712.6233226607. The cubic root of 507832 is about 79.7823249234.

The spelling of 507832 in words is "five hundred seven thousand, eight hundred thirty-two".