431520966 has 16 divisors (see below), whose sum is σ = 958935600. Its totient is φ = 143840304.

The previous prime is 431520949. The next prime is 431520997. The reversal of 431520966 is 669025134.

It is a happy number.

431520966 is a `hidden beast` number, since 43 + 1 + 520 + 96 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 431520966.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3995511 + ... + 3995618.

It is an arithmetic number, because the mean of its divisors is an integer number (59933475).

Almost surely, 2^431520966 is an apocalyptic number.

431520966 is an abundant number, since it is smaller than the sum of its proper divisors (527414634).

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

431520966 is a wasteful number, since it uses less digits than its factorization.

431520966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7991140 (or 7991134 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 431520966 is about 20773.0827274143. The cubic root of 431520966 is about 755.6731076022.

It can be divided in two parts, 4315 and 20966, that added together give a square (25281 = 159²).

The spelling of 431520966 in words is "four hundred thirty-one million, five hundred twenty thousand, nine hundred sixty-six".