444309888 has 128 divisors (see below), whose sum is σ = 1295481600. Its totient is φ = 133806080.

The previous prime is 444309869. The next prime is 444309893. The reversal of 444309888 is 888903444.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×444309888² = 394822553149145088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1237453 + ... + 1237811.

It is an arithmetic number, because the mean of its divisors is an integer number (10120950).

Almost surely, 2^444309888 is an apocalyptic number.

444309888 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 444309888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647740800).

444309888 is an abundant number, since it is smaller than the sum of its proper divisors (851171712).

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

444309888 is a wasteful number, since it uses less digits than its factorization.

444309888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 444309888 is about 21078.6595399233. The cubic root of 444309888 is about 763.0658062563.

The spelling of 444309888 in words is "four hundred forty-four million, three hundred nine thousand, eight hundred eighty-eight".