432708672 has 112 divisors (see below), whose sum is σ = 1256166144. Its totient is φ = 130368000.

The previous prime is 432708643. The next prime is 432708677. The reversal of 432708672 is 276807234.

It is a self number, because there is not a number n which added to its sum of digits gives 432708672.

It is not an unprimeable number, because it can be changed into a prime (432708677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445147 + ... + 446117.

Almost surely, 2^432708672 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 432708672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628083072).

432708672 is an abundant number, since it is smaller than the sum of its proper divisors (823457472).

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

432708672 is a wasteful number, since it uses less digits than its factorization.

432708672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 432708672 is about 20801.6507037302. The cubic root of 432708672 is about 756.3657702053.

The spelling of 432708672 in words is "four hundred thirty-two million, seven hundred eight thousand, six hundred seventy-two".