507872 has 24 divisors (see below), whose sum is σ = 1020600. Its totient is φ = 248704.

The previous prime is 507839. The next prime is 507883. The reversal of 507872 is 278705.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1754 + ... + 2022.

It is an arithmetic number, because the mean of its divisors is an integer number (42525).

2⁵⁰⁷⁸⁷² 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 507872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510300).

507872 is an abundant number, since it is smaller than the sum of its proper divisors (512728).

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

507872 is a wasteful number, since it uses less digits than its factorization.

507872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 507872 is about 712.6513874259. The cubic root of 507872 is about 79.7844195854.

The spelling of 507872 in words is "five hundred seven thousand, eight hundred seventy-two".