432345456 has 120 divisors (see below), whose sum is σ = 1317810000. Its totient is φ = 131798016.

The previous prime is 432345449. The next prime is 432345509. The reversal of 432345456 is 654543234.

432345456 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

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 a self number, because there is not a number n which added to its sum of digits gives 432345456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76620 + ... + 82068.

It is an arithmetic number, because the mean of its divisors is an integer number (10981750).

Almost surely, 2^432345456 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 432345456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658905000).

432345456 is an abundant number, since it is smaller than the sum of its proper divisors (885464544).

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

432345456 is a wasteful number, since it uses less digits than its factorization.

432345456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5511 (or 5502 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

The square root of 432345456 is about 20792.9184098818. The cubic root of 432345456 is about 756.1540796222.

The spelling of 432345456 in words is "four hundred thirty-two million, three hundred forty-five thousand, four hundred fifty-six".