432388320 has 384 divisors, whose sum is σ = 1767951360. Its totient is φ = 86261760.

The previous prime is 432388277. The next prime is 432388321. The reversal of 432388320 is 23883234.

432388320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432388321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 829660 + ... + 830180.

It is an arithmetic number, because the mean of its divisors is an integer number (4604040).

Almost surely, 2^432388320 is an apocalyptic number.

432388320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432388320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883975680).

432388320 is an abundant number, since it is smaller than the sum of its proper divisors (1335563040).

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

432388320 is a wasteful number, since it uses less digits than its factorization.

432388320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 432388320 is about 20793.9491198762. The cubic root of 432388320 is about 756.1790679095.

The spelling of 432388320 in words is "four hundred thirty-two million, three hundred eighty-eight thousand, three hundred twenty".