444799656 has 240 divisors, whose sum is σ = 1468172160. Its totient is φ = 121504320.

The previous prime is 444799639. The next prime is 444799669. The reversal of 444799656 is 656997444.

It is a happy number.

Its product of digits (6531840) is a multiple of the sum of its prime divisors (126).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5358991 + ... + 5359073.

It is an arithmetic number, because the mean of its divisors is an integer number (6117384).

Almost surely, 2^444799656 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 444799656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734086080).

444799656 is an abundant number, since it is smaller than the sum of its proper divisors (1023372504).

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

444799656 is a wasteful number, since it uses less digits than its factorization.

444799656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 126 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 444799656 is about 21090.2739669261. The cubic root of 444799656 is about 763.3460820933.

The spelling of 444799656 in words is "four hundred forty-four million, seven hundred ninety-nine thousand, six hundred fifty-six".