432034320 has 80 divisors (see below), whose sum is σ = 1341789120. Its totient is φ = 114995712.

The previous prime is 432034319. The next prime is 432034349. The reversal of 432034320 is 23430234.

It is a tau number, because it is divible by the number of its divisors (80).

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, 161151 + ... + 163809.

It is an arithmetic number, because the mean of its divisors is an integer number (16772364).

Almost surely, 2^432034320 is an apocalyptic number.

432034320 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 432034320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670894560).

432034320 is an abundant number, since it is smaller than the sum of its proper divisors (909754800).

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

432034320 is a wasteful number, since it uses less digits than its factorization.

432034320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3352 (or 3346 counting only the distinct ones).

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

The square root of 432034320 is about 20785.4352853146. The cubic root of 432034320 is about 755.9726481524.

Adding to 432034320 its reverse (23430234), we get a palindrome (455464554).

The spelling of 432034320 in words is "four hundred thirty-two million, thirty-four thousand, three hundred twenty".