432361872 has 120 divisors (see below), whose sum is σ = 1308428160. Its totient is φ = 132814080.

The previous prime is 432361823. The next prime is 432361873. The reversal of 432361872 is 278163234.

It is a happy number.

432361872 is a `hidden beast` number, since 4 + 32 + 3 + 618 + 7 + 2 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (432361873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99097 + ... + 103367.

It is an arithmetic number, because the mean of its divisors is an integer number (10903568).

Almost surely, 2^432361872 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 432361872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654214080).

432361872 is an abundant number, since it is smaller than the sum of its proper divisors (876066288).

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

432361872 is a wasteful number, since it uses less digits than its factorization.

432361872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4341 (or 4332 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 432361872 is about 20793.3131559163. The cubic root of 432361872 is about 756.1636497997.

The spelling of 432361872 in words is "four hundred thirty-two million, three hundred sixty-one thousand, eight hundred seventy-two".