432590976 has 256 divisors, whose sum is σ = 1395360000. Its totient is φ = 131383296.

The previous prime is 432590971. The next prime is 432590981. The reversal of 432590976 is 679095234.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (432590971) and next prime (432590981).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432590971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2173725 + ... + 2173923.

It is an arithmetic number, because the mean of its divisors is an integer number (5450625).

Almost surely, 2^432590976 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 432590976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697680000).

432590976 is an abundant number, since it is smaller than the sum of its proper divisors (962769024).

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

432590976 is a wasteful number, since it uses less digits than its factorization.

432590976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 432590976 is about 20798.8215050757. The cubic root of 432590976 is about 756.2971872658.

The spelling of 432590976 in words is "four hundred thirty-two million, five hundred ninety thousand, nine hundred seventy-six".