432973272 has 64 divisors (see below), whose sum is σ = 1157345280. Its totient is φ = 134502912.

The previous prime is 432973241. The next prime is 432973301. The reversal of 432973272 is 272379234.

It is a self number, because there is not a number n which added to its sum of digits gives 432973272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36873 + ... + 47175.

It is an arithmetic number, because the mean of its divisors is an integer number (18083520).

Almost surely, 2^432973272 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 432973272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578672640).

432973272 is an abundant number, since it is smaller than the sum of its proper divisors (724372008).

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

432973272 is a wasteful number, since it uses less digits than its factorization.

432973272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10432 (or 10428 counting only the distinct ones).

The product of its digits is 127008, while the sum is 39.

The square root of 432973272 is about 20808.0098039193. The cubic root of 432973272 is about 756.5199105587.

The spelling of 432973272 in words is "four hundred thirty-two million, nine hundred seventy-three thousand, two hundred seventy-two".