438120864 has 72 divisors (see below), whose sum is σ = 1288893060. Its totient is φ = 141001728.

The previous prime is 438120847. The next prime is 438120901. The reversal of 438120864 is 468021834.

It can be written as a sum of positive squares in 2 ways, for example, as 375584400 + 62536464 = 19380^2 + 7908^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17877 + ... + 34580.

Almost surely, 2^438120864 is an apocalyptic number.

It is an amenable number.

438120864 is an abundant number, since it is smaller than the sum of its proper divisors (850772196).

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

438120864 is a wasteful number, since it uses less digits than its factorization.

438120864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52502 (or 52491 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 438120864 is about 20931.3368899361. The cubic root of 438120864 is about 759.5061796647.

The spelling of 438120864 in words is "four hundred thirty-eight million, one hundred twenty thousand, eight hundred sixty-four".