439949664 has 384 divisors, whose sum is σ = 1698278400. Its totient is φ = 107274240.

The previous prime is 439949623. The next prime is 439949677. The reversal of 439949664 is 466949934.

439949664 is a `hidden beast` number, since 4 + 3 + 99 + 496 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 439949664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1130782 + ... + 1131170.

It is an arithmetic number, because the mean of its divisors is an integer number (4422600).

Almost surely, 2^439949664 is an apocalyptic number.

439949664 is a gapful number since it is divisible by the number (44) 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 439949664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849139200).

439949664 is an abundant number, since it is smaller than the sum of its proper divisors (1258328736).

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

439949664 is a wasteful number, since it uses less digits than its factorization.

439949664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 429 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The square root of 439949664 is about 20974.9770917634. The cubic root of 439949664 is about 760.5614871954.

The spelling of 439949664 in words is "four hundred thirty-nine million, nine hundred forty-nine thousand, six hundred sixty-four".