432162816 has 96 divisors (see below), whose sum is σ = 1189843200. Its totient is φ = 139345920.

The previous prime is 432162803. The next prime is 432162817. The reversal of 432162816 is 618261234.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432162817) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189330 + ... + 191598.

It is an arithmetic number, because the mean of its divisors is an integer number (12394200).

Almost surely, 2^432162816 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 432162816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594921600).

432162816 is an abundant number, since it is smaller than the sum of its proper divisors (757680384).

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

432162816 is a wasteful number, since it uses less digits than its factorization.

432162816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325 (or 2305 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 432162816 is about 20788.5260660779. The cubic root of 432162816 is about 756.0475880573.

The spelling of 432162816 in words is "four hundred thirty-two million, one hundred sixty-two thousand, eight hundred sixteen".