432591360 has 320 divisors, whose sum is σ = 1508474880. Its totient is φ = 105431040.

The previous prime is 432591331. The next prime is 432591361. The reversal of 432591360 is 63195234.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432591361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5475801 + ... + 5475879.

It is an arithmetic number, because the mean of its divisors is an integer number (4713984).

Almost surely, 2^432591360 is an apocalyptic number.

432591360 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 432591360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754237440).

432591360 is an abundant number, since it is smaller than the sum of its proper divisors (1075883520).

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

432591360 is a wasteful number, since it uses less digits than its factorization.

432591360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 432591360 is about 20798.8307363659. The cubic root of 432591360 is about 756.2974110476.

The spelling of 432591360 in words is "four hundred thirty-two million, five hundred ninety-one thousand, three hundred sixty".