432578608 has 80 divisors (see below), whose sum is σ = 1049218560. Its totient is φ = 167846400.

The previous prime is 432578603. The next prime is 432578639. The reversal of 432578608 is 806875234.

It is not an unprimeable number, because it can be changed into a prime (432578603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382588 + ... + 383716.

It is an arithmetic number, because the mean of its divisors is an integer number (13115232).

Almost surely, 2^432578608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432578608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524609280).

432578608 is an abundant number, since it is smaller than the sum of its proper divisors (616639952).

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

432578608 is a wasteful number, since it uses less digits than its factorization.

432578608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The square root of 432578608 is about 20798.5241784123. The cubic root of 432578608 is about 756.2899795543.

The spelling of 432578608 in words is "four hundred thirty-two million, five hundred seventy-eight thousand, six hundred eight".