432406016 has 160 divisors (see below), whose sum is σ = 1074788352. Its totient is φ = 169574400.

The previous prime is 432405989. The next prime is 432406019. The reversal of 432406016 is 610604234.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432406019) 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, 2863541 + ... + 2863691.

Almost surely, 2^432406016 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 432406016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537394176).

432406016 is an abundant number, since it is smaller than the sum of its proper divisors (642382336).

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

432406016 is a wasteful number, since it uses less digits than its factorization.

432406016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 432406016 is about 20794.3746239217. The cubic root of 432406016 is about 756.1893836077.

The spelling of 432406016 in words is "four hundred thirty-two million, four hundred six thousand, sixteen".