444247056 has 240 divisors, whose sum is σ = 1479816000. Its totient is φ = 122895360.

The previous prime is 444247039. The next prime is 444247127. The reversal of 444247056 is 650742444.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 444247056.

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 47 ways as a sum of consecutive naturals, for example, 872530 + ... + 873038.

It is an arithmetic number, because the mean of its divisors is an integer number (6165900).

Almost surely, 2^444247056 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 444247056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739908000).

444247056 is an abundant number, since it is smaller than the sum of its proper divisors (1035568944).

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

444247056 is a wasteful number, since it uses less digits than its factorization.

444247056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 444247056 is about 21077.1690698727. The cubic root of 444247056 is about 763.0298349577.

The spelling of 444247056 in words is "four hundred forty-four million, two hundred forty-seven thousand, fifty-six".