432257504 has 48 divisors (see below), whose sum is σ = 1029799008. Its totient is φ = 174354432.

The previous prime is 432257491. The next prime is 432257509. The reversal of 432257504 is 405752234.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432257509) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52949 + ... + 60564.

It is an arithmetic number, because the mean of its divisors is an integer number (21454146).

Almost surely, 2^432257504 is an apocalyptic number.

It is an amenable number.

432257504 is an abundant number, since it is smaller than the sum of its proper divisors (597541504).

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

432257504 is a wasteful number, since it uses less digits than its factorization.

432257504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113547 (or 113539 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 32.

The square root of 432257504 is about 20790.8033514821. The cubic root of 432257504 is about 756.1028013578.

The spelling of 432257504 in words is "four hundred thirty-two million, two hundred fifty-seven thousand, five hundred four".