431872 has 36 divisors (see below), whose sum is σ = 989296. Its totient is φ = 184320.

The previous prime is 431869. The next prime is 431881. The reversal of 431872 is 278134.

431872 is a Rhonda number in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1672 + ... + 1912.

2⁴³¹⁸⁷² 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 431872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494648).

431872 is an abundant number, since it is smaller than the sum of its proper divisors (557424).

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

431872 is an equidigital number, since it uses as much as digits as its factorization.

431872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 250 counting only the distinct ones).

The product of its digits is 1344, while the sum is 25.

The square root of 431872 is about 657.1696888932. The cubic root of 431872 is about 75.5877960574.

The spelling of 431872 in words is "four hundred thirty-one thousand, eight hundred seventy-two".