432716256 has 180 divisors, whose sum is σ = 1480813488. Its totient is φ = 123596928.

The previous prime is 432716243. The next prime is 432716257. The reversal of 432716256 is 652617234.

432716256 is a `hidden beast` number, since 4 + 3 + 27 + 1 + 625 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 432716256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432716257) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 125305 + ... + 128711.

Almost surely, 2^432716256 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 432716256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740406744).

432716256 is an abundant number, since it is smaller than the sum of its proper divisors (1048097232).

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

432716256 is a wasteful number, since it uses less digits than its factorization.

432716256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3443 (or 3419 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 432716256 is about 20801.8329961569. The cubic root of 432716256 is about 756.3701890710.

The spelling of 432716256 in words is "four hundred thirty-two million, seven hundred sixteen thousand, two hundred fifty-six".