444716320 has 96 divisors (see below), whose sum is σ = 1104763968. Its totient is φ = 168956928.

The previous prime is 444716273. The next prime is 444716329. The reversal of 444716320 is 23617444.

It is not an unprimeable number, because it can be changed into a prime (444716329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253687 + ... + 255433.

It is an arithmetic number, because the mean of its divisors is an integer number (11507958).

Almost surely, 2^444716320 is an apocalyptic number.

444716320 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 444716320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552381984).

444716320 is an abundant number, since it is smaller than the sum of its proper divisors (660047648).

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

444716320 is a wasteful number, since it uses less digits than its factorization.

444716320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 444716320 is about 21088.2981769511. The cubic root of 444716320 is about 763.2984065601.

The spelling of 444716320 in words is "four hundred forty-four million, seven hundred sixteen thousand, three hundred twenty".