432314272 has 48 divisors (see below), whose sum is σ = 936133632. Its totient is φ = 195275520.

The previous prime is 432314237. The next prime is 432314273. The reversal of 432314272 is 272413234.

It is a self number, because there is not a number n which added to its sum of digits gives 432314272.

It is not an unprimeable number, because it can be changed into a prime (432314273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8497 + ... + 30607.

It is an arithmetic number, because the mean of its divisors is an integer number (19502784).

Almost surely, 2^432314272 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 432314272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468066816).

432314272 is an abundant number, since it is smaller than the sum of its proper divisors (503819360).

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

432314272 is a wasteful number, since it uses less digits than its factorization.

432314272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22181 (or 22173 counting only the distinct ones).

The product of its digits is 8064, while the sum is 28.

The square root of 432314272 is about 20792.1685256733. The cubic root of 432314272 is about 756.1358993488.

The spelling of 432314272 in words is "four hundred thirty-two million, three hundred fourteen thousand, two hundred seventy-two".