432589056 has 72 divisors (see below), whose sum is σ = 1191079680. Its totient is φ = 139216896.

The previous prime is 432589049. The next prime is 432589061. The reversal of 432589056 is 650985234.

It is a super-2 number, since 2×432589056² = 374266582741942272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 432588999 and 432589017.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12561 + ... + 31983.

Almost surely, 2^432589056 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 432589056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595539840).

432589056 is an abundant number, since it is smaller than the sum of its proper divisors (758490624).

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

432589056 is a wasteful number, since it uses less digits than its factorization.

432589056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19471 (or 19457 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 432589056 is about 20798.7753485632. The cubic root of 432589056 is about 756.2960683545.

The spelling of 432589056 in words is "four hundred thirty-two million, five hundred eighty-nine thousand, fifty-six".