431959968 has 72 divisors (see below), whose sum is σ = 1340067456. Its totient is φ = 130896000.

The previous prime is 431959951. The next prime is 431959973. The reversal of 431959968 is 869959134.

431959968 is a `hidden beast` number, since 43 + 1 + 9 + 599 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×431959968² = 373178827909122048, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65008 + ... + 71343.

It is an arithmetic number, because the mean of its divisors is an integer number (18612048).

Almost surely, 2^431959968 is an apocalyptic number.

431959968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

431959968 is an abundant number, since it is smaller than the sum of its proper divisors (908107488).

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

431959968 is a wasteful number, since it uses less digits than its factorization.

431959968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136378 (or 136367 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 431959968 is about 20783.6466482665. The cubic root of 431959968 is about 755.9292786788.

The spelling of 431959968 in words is "four hundred thirty-one million, nine hundred fifty-nine thousand, nine hundred sixty-eight".