432315720 has 192 divisors, whose sum is σ = 1445558400. Its totient is φ = 112020480.

The previous prime is 432315713. The next prime is 432315743. The reversal of 432315720 is 27513234.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3300055 + ... + 3300185.

It is an arithmetic number, because the mean of its divisors is an integer number (7528950).

Almost surely, 2^432315720 is an apocalyptic number.

432315720 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 432315720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722779200).

432315720 is an abundant number, since it is smaller than the sum of its proper divisors (1013242680).

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

432315720 is a wasteful number, since it uses less digits than its factorization.

432315720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 432315720 is about 20792.2033464470. The cubic root of 432315720 is about 756.1367435522.

Adding to 432315720 its reverse (27513234), we get a palindrome (459828954).

The spelling of 432315720 in words is "four hundred thirty-two million, three hundred fifteen thousand, seven hundred twenty".