432340320 has 96 divisors (see below), whose sum is σ = 1370785248. Its totient is φ = 114536448.

The previous prime is 432340303. The next prime is 432340339. The reversal of 432340320 is 23043234.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 72492 + ... + 78228.

It is an arithmetic number, because the mean of its divisors is an integer number (14279013).

Almost surely, 2^432340320 is an apocalyptic number.

432340320 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 432340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685392624).

432340320 is an abundant number, since it is smaller than the sum of its proper divisors (938444928).

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

432340320 is a wasteful number, since it uses less digits than its factorization.

432340320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5912 (or 5904 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 432340320 is about 20792.7949059284. The cubic root of 432340320 is about 756.1510853941.

Adding to 432340320 its reverse (23043234), we get a palindrome (455383554).

The spelling of 432340320 in words is "four hundred thirty-two million, three hundred forty thousand, three hundred twenty".