432147456 has 132 divisors (see below), whose sum is σ = 1344174832. Its totient is φ = 132931584.

The previous prime is 432147449. The next prime is 432147461. The reversal of 432147456 is 654741234.

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 432147456.

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, 118005 + ... + 121611.

Almost surely, 2^432147456 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 432147456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672087416).

432147456 is an abundant number, since it is smaller than the sum of its proper divisors (912027376).

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

432147456 is a wasteful number, since it uses less digits than its factorization.

432147456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3646 (or 3625 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 432147456 is about 20788.1566282343. The cubic root of 432147456 is about 756.0386307630.

The spelling of 432147456 in words is "four hundred thirty-two million, one hundred forty-seven thousand, four hundred fifty-six".