432947232 has 72 divisors (see below), whose sum is σ = 1248119964. Its totient is φ = 142331904.

The previous prime is 432947219. The next prime is 432947257. The reversal of 432947232 is 232749234.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 384003216 + 48944016 = 19596^2 + 6996^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10728 + ... + 31320.

Almost surely, 2^432947232 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 432947232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624059982).

432947232 is an abundant number, since it is smaller than the sum of its proper divisors (815172732).

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

432947232 is a wasteful number, since it uses less digits than its factorization.

432947232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20682 (or 20671 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 432947232 is about 20807.3840739291. The cubic root of 432947232 is about 756.5047439771.

The spelling of 432947232 in words is "four hundred thirty-two million, nine hundred forty-seven thousand, two hundred thirty-two".