444409056 has 288 divisors, whose sum is σ = 1608542208. Its totient is φ = 113218560.

The previous prime is 444409003. The next prime is 444409073. The reversal of 444409056 is 650904444.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×444409056² = 394998818109622272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 444409056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 812175 + ... + 812721.

It is an arithmetic number, because the mean of its divisors is an integer number (5585216).

Almost surely, 2^444409056 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 444409056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804271104).

444409056 is an abundant number, since it is smaller than the sum of its proper divisors (1164133152).

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

444409056 is a wasteful number, since it uses less digits than its factorization.

444409056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 444409056 is about 21081.0117404265. The cubic root of 444409056 is about 763.1225730031.

The spelling of 444409056 in words is "four hundred forty-four million, four hundred nine thousand, fifty-six".