432107568 has 40 divisors (see below), whose sum is σ = 1240310000. Its totient is φ = 144035712.

The previous prime is 432107539. The next prime is 432107579. The reversal of 432107568 is 865701234.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 499693 + ... + 500556.

It is an arithmetic number, because the mean of its divisors is an integer number (31007750).

Almost surely, 2^432107568 is an apocalyptic number.

432107568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

432107568 is an abundant number, since it is smaller than the sum of its proper divisors (808202432).

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

432107568 is a wasteful number, since it uses less digits than its factorization.

432107568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000266 (or 1000254 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 432107568 is about 20787.1972136698. The cubic root of 432107568 is about 756.0153687982.

The spelling of 432107568 in words is "four hundred thirty-two million, one hundred seven thousand, five hundred sixty-eight".