444345568 has 48 divisors (see below), whose sum is σ = 910393344. Its totient is φ = 213252480.

The previous prime is 444345553. The next prime is 444345653. The reversal of 444345568 is 865543444.

It is a super-3 number, since 3×444345568³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124221 + ... + 127747.

It is an arithmetic number, because the mean of its divisors is an integer number (18966528).

Almost surely, 2^444345568 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 444345568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455196672).

444345568 is an abundant number, since it is smaller than the sum of its proper divisors (466047776).

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

444345568 is a wasteful number, since it uses less digits than its factorization.

444345568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3695 (or 3687 counting only the distinct ones).

The product of its digits is 921600, while the sum is 43.

The square root of 444345568 is about 21079.5058765617. The cubic root of 444345568 is about 763.0862315345.

The spelling of 444345568 in words is "four hundred forty-four million, three hundred forty-five thousand, five hundred sixty-eight".