432314320 has 40 divisors (see below), whose sum is σ = 1021619880. Its totient is φ = 170088960.

The previous prime is 432314297. The next prime is 432314357. The reversal of 432314320 is 23413234.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14684224 + 417630096 = 3832^2 + 20436^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 432314291 and 432314300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39415 + ... + 49174.

It is an arithmetic number, because the mean of its divisors is an integer number (25540497).

Almost surely, 2^432314320 is an apocalyptic number.

432314320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432314320 is an abundant number, since it is smaller than the sum of its proper divisors (589305560).

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

432314320 is a wasteful number, since it uses less digits than its factorization.

432314320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88663 (or 88657 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 432314320 is about 20792.1696799540. The cubic root of 432314320 is about 756.1359273335.

Adding to 432314320 its reverse (23413234), we get a palindrome (455727554).

The spelling of 432314320 in words is "four hundred thirty-two million, three hundred fourteen thousand, three hundred twenty".