444505344 has 72 divisors (see below), whose sum is σ = 1191177792. Its totient is φ = 147148800.

The previous prime is 444505339. The next prime is 444505349. The reversal of 444505344 is 443505444.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (444505339) and next prime (444505349).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444505349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114052 + ... + 117884.

It is an arithmetic number, because the mean of its divisors is an integer number (16544136).

Almost surely, 2^444505344 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 444505344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595588896).

444505344 is an abundant number, since it is smaller than the sum of its proper divisors (746672448).

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

444505344 is a wasteful number, since it uses less digits than its factorization.

444505344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4003 (or 3989 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 33.

The square root of 444505344 is about 21083.2953780950. The cubic root of 444505344 is about 763.1776830713.

It can be divided in two parts, 44450 and 5344, that added together give a palindrome (49794).

The spelling of 444505344 in words is "four hundred forty-four million, five hundred five thousand, three hundred forty-four".