444566016 has 80 divisors (see below), whose sum is σ = 1315987200. Its totient is φ = 148184064.

The previous prime is 444565991. The next prime is 444566021. The reversal of 444566016 is 610665444.

444566016 is a `hidden beast` number, since 4 + 4 + 45 + 6 + 601 + 6 = 666.

It is a super-2 number, since 2×444566016² = 395277885164224512, which contains 22 as substring.

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

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 7 ways as a sum of consecutive naturals, for example, 2256 + ... + 29903.

It is an arithmetic number, because the mean of its divisors is an integer number (16449840).

Almost surely, 2^444566016 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 444566016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657993600).

444566016 is an abundant number, since it is smaller than the sum of its proper divisors (871421184).

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

444566016 is an equidigital number, since it uses as much as digits as its factorization.

444566016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32186 (or 32164 counting only the distinct ones).

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

The square root of 444566016 is about 21084.7341932499. The cubic root of 444566016 is about 763.2124043710.

The spelling of 444566016 in words is "four hundred forty-four million, five hundred sixty-six thousand, sixteen".