444866688 has 384 divisors, whose sum is σ = 1590710400. Its totient is φ = 121927680.

The previous prime is 444866677. The next prime is 444866701. The reversal of 444866688 is 886668444.

It is a tau number, because it is divible by the number of its divisors (384).

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6265693 + ... + 6265763.

It is an arithmetic number, because the mean of its divisors is an integer number (4142475).

Almost surely, 2^444866688 is an apocalyptic number.

444866688 is a gapful number since it is divisible by the number (48) 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 444866688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795355200).

444866688 is an abundant number, since it is smaller than the sum of its proper divisors (1145843712).

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

444866688 is a wasteful number, since it uses less digits than its factorization.

444866688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 120 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The square root of 444866688 is about 21091.8630756033. The cubic root of 444866688 is about 763.3844259812.

The spelling of 444866688 in words is "four hundred forty-four million, eight hundred sixty-six thousand, six hundred eighty-eight".