444085564 has 48 divisors (see below), whose sum is σ = 879459840. Its totient is φ = 194673600.

The previous prime is 444085559. The next prime is 444085573. The reversal of 444085564 is 465580444.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179367 + ... + 181825.

It is an arithmetic number, because the mean of its divisors is an integer number (18322080).

Almost surely, 2^444085564 is an apocalyptic number.

It is an amenable number.

444085564 is a deficient number, since it is larger than the sum of its proper divisors (435374276).

444085564 is a wasteful number, since it uses less digits than its factorization.

444085564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2650 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 40.

The square root of 444085564 is about 21073.3377517659. The cubic root of 444085564 is about 762.9373652784.

The spelling of 444085564 in words is "four hundred forty-four million, eighty-five thousand, five hundred sixty-four".