444568320 has 432 divisors, whose sum is σ = 1817524800. Its totient is φ = 98205696.

The previous prime is 444568273. The next prime is 444568331. The reversal of 444568320 is 23865444.

It is a super-2 number, since 2×444568320² = 395281982295244800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2983606 + ... + 2983754.

Almost surely, 2^444568320 is an apocalyptic number.

444568320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908762400).

444568320 is an abundant number, since it is smaller than the sum of its proper divisors (1372956480).

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

444568320 is a wasteful number, since it uses less digits than its factorization.

444568320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 444568320 is about 21084.7888298650. The cubic root of 444568320 is about 763.2137228391.

The spelling of 444568320 in words is "four hundred forty-four million, five hundred sixty-eight thousand, three hundred twenty".