432097920 has 96 divisors (see below), whose sum is σ = 1492108020. Its totient is φ = 115224576.

The previous prime is 432097907. The next prime is 432097921. The reversal of 432097920 is 29790234.

It can be written as a sum of positive squares in 2 ways, for example, as 413227584 + 18870336 = 20328^2 + 4344^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×432097920² = 373417224936652800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (432097921) 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, 31749 + ... + 43268.

Almost surely, 2^432097920 is an apocalyptic number.

432097920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432097920 is an abundant number, since it is smaller than the sum of its proper divisors (1060010100).

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

432097920 is a wasteful number, since it uses less digits than its factorization.

432097920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75042 (or 75027 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 432097920 is about 20786.9651464566. The cubic root of 432097920 is about 756.0097420429.

The spelling of 432097920 in words is "four hundred thirty-two million, ninety-seven thousand, nine hundred twenty".