444697344 has 432 divisors, whose sum is σ = 1663734240. Its totient is φ = 116121600.

The previous prime is 444697327. The next prime is 444697361. The reversal of 444697344 is 443796444.

It is an interprime number because it is at equal distance from previous prime (444697327) and next prime (444697361).

It is a tau number, because it is divible by the number of its divisors (432).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1161216) is a multiple of the sum of its prime divisors (126).

It is a self number, because there is not a number n which added to its sum of digits gives 444697344.

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, 4402894 + ... + 4402994.

Almost surely, 2^444697344 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 444697344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831867120).

444697344 is an abundant number, since it is smaller than the sum of its proper divisors (1219036896).

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

444697344 is a wasteful number, since it uses less digits than its factorization.

444697344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 126 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The square root of 444697344 is about 21087.8482543857. The cubic root of 444697344 is about 763.2875497840.

The spelling of 444697344 in words is "four hundred forty-four million, six hundred ninety-seven thousand, three hundred forty-four".