432843264 has 360 divisors, whose sum is σ = 1528214688. Its totient is φ = 121927680.

The previous prime is 432843263. The next prime is 432843311. The reversal of 432843264 is 462348234.

432843264 is a `hidden beast` number, since 4 + 328 + 4 + 326 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432843263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6096349 + ... + 6096419.

Almost surely, 2^432843264 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 432843264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764107344).

432843264 is an abundant number, since it is smaller than the sum of its proper divisors (1095371424).

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

432843264 is an frugal number, since it uses more digits than its factorization.

432843264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 83 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 432843264 is about 20804.8855800747. The cubic root of 432843264 is about 756.4441834159. Note that the first 3 decimals are identical.

The spelling of 432843264 in words is "four hundred thirty-two million, eight hundred forty-three thousand, two hundred sixty-four".