439314444864 has 63 divisors (see below), whose sum is σ = 1259261132857. Its totient is φ = 146432845824.

The previous prime is 439314444797. The next prime is 439314444931. The reversal of 439314444864 is 468444413934.

The square root of 439314444864 is 662808.

It is a perfect power (a square), and thus also a powerful number.

439314444864 is a `hidden beast` number, since 43 + 93 + 14 + 4 + 448 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (439314444797) and next prime (439314444931).

It can be written as a sum of positive squares in only one way, i.e., 286286400 + 439028158464 = 16920^2 + 662592^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 439314444864.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15893584 + ... + 15921200.

Almost surely, 2^439314444864 is an apocalyptic number.

439314444864 is the 662808-th square number.

It is an amenable number.

439314444864 is an abundant number, since it is smaller than the sum of its proper divisors (819946687993).

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

439314444864 is an frugal number, since it uses more digits than its factorization.

439314444864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55252 (or 27622 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 54.

The spelling of 439314444864 in words is "four hundred thirty-nine billion, three hundred fourteen million, four hundred forty-four thousand, eight hundred sixty-four".