432668304 has 120 divisors (see below), whose sum is σ = 1322033440. Its totient is φ = 136608768.

The previous prime is 432668297. The next prime is 432668311. The reversal of 432668304 is 403866234.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (432668297) and next prime (432668311).

It is a super-2 number, since 2×432668304² = 374403722572472832, which contains 22 as substring.

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

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, 70944 + ... + 76800.

Almost surely, 2^432668304 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 432668304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661016720).

432668304 is an abundant number, since it is smaller than the sum of its proper divisors (889365136).

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

432668304 is a wasteful number, since it uses less digits than its factorization.

432668304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5899 (or 5881 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 432668304 is about 20800.6803734878. The cubic root of 432668304 is about 756.3422486654.

The spelling of 432668304 in words is "four hundred thirty-two million, six hundred sixty-eight thousand, three hundred four".