444546816 has 108 divisors (see below), whose sum is σ = 1376425512. Its totient is φ = 127002624.

The previous prime is 444546763. The next prime is 444546841. The reversal of 444546816 is 618645444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31726 + ... + 43538.

Almost surely, 2^444546816 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 444546816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688212756).

444546816 is an abundant number, since it is smaller than the sum of its proper divisors (931878696).

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

444546816 is a wasteful number, since it uses less digits than its factorization.

444546816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11846 (or 11825 counting only the distinct ones).

The product of its digits is 368640, while the sum is 42.

The square root of 444546816 is about 21084.2788826177. The cubic root of 444546816 is about 763.2014169596.

The spelling of 444546816 in words is "four hundred forty-four million, five hundred forty-six thousand, eight hundred sixteen".