431972 has 12 divisors (see below), whose sum is σ = 766080. Its totient is φ = 213096.

The previous prime is 431947. The next prime is 431983. The reversal of 431972 is 279134.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 368 + ... + 999.

It is an arithmetic number, because the mean of its divisors is an integer number (63840).

2⁴³¹⁹⁷² is an apocalyptic number.

It is an amenable number.

431972 is a deficient number, since it is larger than the sum of its proper divisors (334108).

431972 is a wasteful number, since it uses less digits than its factorization.

431972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1448 counting only the distinct ones).

The product of its digits is 1512, while the sum is 26.

The square root of 431972 is about 657.2457683394. The cubic root of 431972 is about 75.5936297274.

The spelling of 431972 in words is "four hundred thirty-one thousand, nine hundred seventy-two".