432198144 has 120 divisors (see below), whose sum is σ = 1425652800. Its totient is φ = 123475968.

The previous prime is 432198133. The next prime is 432198161. The reversal of 432198144 is 441891234.

It is a happy number.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 432198099 and 432198108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25557 + ... + 38955.

It is an arithmetic number, because the mean of its divisors is an integer number (11880440).

Almost surely, 2^432198144 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 432198144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712826400).

432198144 is an abundant number, since it is smaller than the sum of its proper divisors (993454656).

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

432198144 is a wasteful number, since it uses less digits than its factorization.

432198144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13430 (or 13411 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 432198144 is about 20789.3757482037. The cubic root of 432198144 is about 756.0681890287.

The spelling of 432198144 in words is "four hundred thirty-two million, one hundred ninety-eight thousand, one hundred forty-four".