432081216 has 280 divisors, whose sum is σ = 1499819200. Its totient is φ = 123451776.

The previous prime is 432081203. The next prime is 432081229. The reversal of 432081216 is 612180234.

The cubic root of 432081216 is 756.

It is a perfect power (a cube), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (432081203) and next prime (432081229).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 432081216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 61725885 + ... + 61725891.

Almost surely, 2^432081216 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 432081216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749909600).

432081216 is an abundant number, since it is smaller than the sum of its proper divisors (1067737984).

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

432081216 is an frugal number, since it uses more digits than its factorization.

432081216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 432081216 is about 20786.5633523197.

Multiplying 432081216 by its sum of digits (27), we get a cube (11666192832 = 2268³).

432081216 divided by its sum of digits (27) gives a cube (16003008 = 252³).

The spelling of 432081216 in words is "four hundred thirty-two million, eighty-one thousand, two hundred sixteen".