444793344 has 80 divisors (see below), whose sum is σ = 1247405280. Its totient is φ = 140451840.

The previous prime is 444793313. The next prime is 444793373. The reversal of 444793344 is 443397444.

It is a super-2 number, since 2×444793344² = 395682237733404672, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444793296 and 444793305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21564 + ... + 36804.

It is an arithmetic number, because the mean of its divisors is an integer number (15592566).

Almost surely, 2^444793344 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 444793344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623702640).

444793344 is an abundant number, since it is smaller than the sum of its proper divisors (802611936).

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

444793344 is a wasteful number, since it uses less digits than its factorization.

444793344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15281 (or 15265 counting only the distinct ones).

The product of its digits is 580608, while the sum is 42.

The square root of 444793344 is about 21090.1243239579. The cubic root of 444793344 is about 763.3424712817.

The spelling of 444793344 in words is "four hundred forty-four million, seven hundred ninety-three thousand, three hundred forty-four".