431116272 has 60 divisors (see below), whose sum is σ = 1221831520. Its totient is φ = 141882624.

The previous prime is 431116261. The next prime is 431116307. The reversal of 431116272 is 272611134.

431116272 is a `hidden beast` number, since 4 + 31 + 1 + 1 + 627 + 2 = 666.

It is a super-2 number, since 2×431116272² = 371722479966355968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7573 + ... + 30324.

Almost surely, 2^431116272 is an apocalyptic number.

It is an amenable number.

431116272 is an abundant number, since it is smaller than the sum of its proper divisors (790715248).

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

431116272 is a wasteful number, since it uses less digits than its factorization.

431116272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37990 (or 37981 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 431116272 is about 20763.3396157747. The cubic root of 431116272 is about 755.4368023409.

The spelling of 431116272 in words is "four hundred thirty-one million, one hundred sixteen thousand, two hundred seventy-two".