432312320 has 208 divisors, whose sum is σ = 1203094080. Its totient is φ = 147456000.

The previous prime is 432312313. The next prime is 432312337. The reversal of 432312320 is 23213234.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 432312292 and 432312301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4280270 + ... + 4280370.

Almost surely, 2^432312320 is an apocalyptic number.

432312320 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 432312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601547040).

432312320 is an abundant number, since it is smaller than the sum of its proper divisors (770781760).

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

432312320 is a wasteful number, since it uses less digits than its factorization.

432312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 432312320 is about 20792.1215848696. The cubic root of 432312320 is about 756.1347613036.

Adding to 432312320 its reverse (23213234), we get a palindrome (455525554).

The spelling of 432312320 in words is "four hundred thirty-two million, three hundred twelve thousand, three hundred twenty".