444561696 has 336 divisors, whose sum is σ = 1487354400. Its totient is φ = 129890304.

The previous prime is 444561661. The next prime is 444561703. The reversal of 444561696 is 696165444.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7534915 + ... + 7534973.

It is an arithmetic number, because the mean of its divisors is an integer number (4426650).

Almost surely, 2^444561696 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 444561696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743677200).

444561696 is an abundant number, since it is smaller than the sum of its proper divisors (1042792704).

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

444561696 is a wasteful number, since it uses less digits than its factorization.

444561696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 444561696 is about 21084.6317492149. The cubic root of 444561696 is about 763.2099322310.

The spelling of 444561696 in words is "four hundred forty-four million, five hundred sixty-one thousand, six hundred ninety-six".