432020224 has 72 divisors (see below), whose sum is σ = 906554880. Its totient is φ = 205083648.

The previous prime is 432020219. The next prime is 432020231. The reversal of 432020224 is 422020234.

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, 1407079 + ... + 1407385.

It is an arithmetic number, because the mean of its divisors is an integer number (12591040).

Almost surely, 2^432020224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453277440).

432020224 is an abundant number, since it is smaller than the sum of its proper divisors (474534656).

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

432020224 is a wasteful number, since it uses less digits than its factorization.

432020224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 432020224 is about 20785.0961989595. The cubic root of 432020224 is about 755.9644263470.

Adding to 432020224 its reverse (422020234), we get a palindrome (854040458).

The spelling of 432020224 in words is "four hundred thirty-two million, twenty thousand, two hundred twenty-four".