444304140 has 96 divisors (see below), whose sum is σ = 1460250624. Its totient is φ = 98807040.

The previous prime is 444304123. The next prime is 444304153. The reversal of 444304140 is 41403444.

It is a super-2 number, since 2×444304140² = 394812337642279200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 444304140.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1245 + ... + 29835.

It is an arithmetic number, because the mean of its divisors is an integer number (15210944).

Almost surely, 2^444304140 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 444304140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730125312).

444304140 is an abundant number, since it is smaller than the sum of its proper divisors (1015946484).

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

444304140 is a wasteful number, since it uses less digits than its factorization.

444304140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28647 (or 28645 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 444304140 is about 21078.5231930513. The cubic root of 444304140 is about 763.0625156692.

Adding to 444304140 its reverse (41403444), we get a palindrome (485707584).

It can be divided in two parts, 444304 and 140, that added together give a palindrome (444444).

The spelling of 444304140 in words is "four hundred forty-four million, three hundred four thousand, one hundred forty".