432363564 has 72 divisors (see below), whose sum is σ = 1117247040. Its totient is φ = 140940000.

The previous prime is 432363553. The next prime is 432363593. The reversal of 432363564 is 465363234.

432363564 is a `hidden beast` number, since 4 + 32 + 3 + 63 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 532719 + ... + 533529.

It is an arithmetic number, because the mean of its divisors is an integer number (15517320).

Almost surely, 2^432363564 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 432363564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558623520).

432363564 is an abundant number, since it is smaller than the sum of its proper divisors (684883476).

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

432363564 is a wasteful number, since it uses less digits than its factorization.

432363564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1126 counting only the distinct ones).

The product of its digits is 155520, while the sum is 36.

The square root of 432363564 is about 20793.3538420333. The cubic root of 432363564 is about 756.1646361858.

The spelling of 432363564 in words is "four hundred thirty-two million, three hundred sixty-three thousand, five hundred sixty-four".