438842664 has 128 divisors (see below), whose sum is σ = 1323907200. Its totient is φ = 133885440.

The previous prime is 438842581. The next prime is 438842669. The reversal of 438842664 is 466248834.

438842664 is a `hidden beast` number, since 4 + 388 + 4 + 266 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (438842669) 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 31 ways as a sum of consecutive naturals, for example, 367252 + ... + 368444.

It is an arithmetic number, because the mean of its divisors is an integer number (10343025).

Almost surely, 2^438842664 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 438842664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661953600).

438842664 is an abundant number, since it is smaller than the sum of its proper divisors (885064536).

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

438842664 is a wasteful number, since it uses less digits than its factorization.

438842664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1342 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 438842664 is about 20948.5718844985. The cubic root of 438842664 is about 759.9230439161.

The spelling of 438842664 in words is "four hundred thirty-eight million, eight hundred forty-two thousand, six hundred sixty-four".