432807252 has 48 divisors (see below), whose sum is σ = 1049462400. Its totient is φ = 138660480.

The previous prime is 432807247. The next prime is 432807253. The reversal of 432807252 is 252708234.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432807253) 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, 76977 + ... + 82407.

It is an arithmetic number, because the mean of its divisors is an integer number (21863800).

Almost surely, 2^432807252 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 432807252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524731200).

432807252 is an abundant number, since it is smaller than the sum of its proper divisors (616655148).

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

432807252 is a wasteful number, since it uses less digits than its factorization.

432807252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5696 (or 5694 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 432807252 is about 20804.0200922802. The cubic root of 432807252 is about 756.4232044414.

The spelling of 432807252 in words is "four hundred thirty-two million, eight hundred seven thousand, two hundred fifty-two".