444872320 has 128 divisors (see below), whose sum is σ = 1163289600. Its totient is φ = 161955840.

The previous prime is 444872317. The next prime is 444872353. The reversal of 444872320 is 23278444.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×444872320² = 395822762204364800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 336621 + ... + 337939.

It is an arithmetic number, because the mean of its divisors is an integer number (9088200).

Almost surely, 2^444872320 is an apocalyptic number.

444872320 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 444872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581644800).

444872320 is an abundant number, since it is smaller than the sum of its proper divisors (718417280).

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

444872320 is a wasteful number, since it uses less digits than its factorization.

444872320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 34.

The square root of 444872320 is about 21091.9965863832. The cubic root of 444872320 is about 763.3876474429.

The spelling of 444872320 in words is "four hundred forty-four million, eight hundred seventy-two thousand, three hundred twenty".