431736864 has 192 divisors, whose sum is σ = 1295481600. Its totient is φ = 125638656.

The previous prime is 431736857. The next prime is 431736869. The reversal of 431736864 is 468637134.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431736869) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4850932 + ... + 4851020.

It is an arithmetic number, because the mean of its divisors is an integer number (6747300).

Almost surely, 2^431736864 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 431736864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647740800).

431736864 is an abundant number, since it is smaller than the sum of its proper divisors (863744736).

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

431736864 is a wasteful number, since it uses less digits than its factorization.

431736864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 130 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 431736864 is about 20778.2786582527. The cubic root of 431736864 is about 755.7991123808.

The spelling of 431736864 in words is "four hundred thirty-one million, seven hundred thirty-six thousand, eight hundred sixty-four".