432556416 has 128 divisors (see below), whose sum is σ = 1304294400. Its totient is φ = 141064704.

The previous prime is 432556403. The next prime is 432556433. The reversal of 432556416 is 614655234.

432556416 is a `hidden beast` number, since 4 + 3 + 2 + 5 + 5 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

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, 161101 + ... + 163763.

It is an arithmetic number, because the mean of its divisors is an integer number (10189800).

Almost surely, 2^432556416 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 432556416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652147200).

432556416 is an abundant number, since it is smaller than the sum of its proper divisors (871737984).

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

432556416 is a wasteful number, since it uses less digits than its factorization.

432556416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2733 (or 2715 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 432556416 is about 20797.9906721779. The cubic root of 432556416 is about 756.2770463564.

The spelling of 432556416 in words is "four hundred thirty-two million, five hundred fifty-six thousand, four hundred sixteen".