432416520 has 96 divisors (see below), whose sum is σ = 1450725120. Its totient is φ = 111588480.

The previous prime is 432416513. The next prime is 432416527. The reversal of 432416520 is 25614234.

432416520 is a `hidden beast` number, since 4 + 3 + 2 + 4 + 1 + 652 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (432416513) and next prime (432416527).

It is not an unprimeable number, because it can be changed into a prime (432416527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8214 + ... + 30533.

It is an arithmetic number, because the mean of its divisors is an integer number (15111720).

Almost surely, 2^432416520 is an apocalyptic number.

432416520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432416520 is an abundant number, since it is smaller than the sum of its proper divisors (1018308600).

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

432416520 is a wasteful number, since it uses less digits than its factorization.

432416520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38795 (or 38788 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 432416520 is about 20794.6271906952. The cubic root of 432416520 is about 756.1955066715.

The spelling of 432416520 in words is "four hundred thirty-two million, four hundred sixteen thousand, five hundred twenty".