431616960 has 84 divisors (see below), whose sum is σ = 1484592408. Its totient is φ = 115097088.

The previous prime is 431616959. The next prime is 431616967. The reversal of 431616960 is 69616134.

431616960 is a `hidden beast` number, since 4 + 31 + 616 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431616967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72054 + ... + 77813.

Almost surely, 2^431616960 is an apocalyptic number.

431616960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431616960 is an abundant number, since it is smaller than the sum of its proper divisors (1052975448).

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

431616960 is a wasteful number, since it uses less digits than its factorization.

431616960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149890 (or 149877 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 431616960 is about 20775.3931370744. The cubic root of 431616960 is about 755.7291378701.

The spelling of 431616960 in words is "four hundred thirty-one million, six hundred sixteen thousand, nine hundred sixty".