444044040 has 64 divisors (see below), whose sum is σ = 1453239360. Its totient is φ = 107646720.

The previous prime is 444044033. The next prime is 444044057. The reversal of 444044040 is 40440444.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 444044040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166879 + ... + 169518.

It is an arithmetic number, because the mean of its divisors is an integer number (22706865).

Almost surely, 2^444044040 is an apocalyptic number.

444044040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444044040 is an abundant number, since it is smaller than the sum of its proper divisors (1009195320).

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

444044040 is a wasteful number, since it uses less digits than its factorization.

444044040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336422 (or 336418 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 444044040 is about 21072.3525027463. The cubic root of 444044040 is about 762.9135851774.

Adding to 444044040 its reverse (40440444), we get a palindrome (484484484).

It can be divided in two parts, 4 and 44044040, that added together give a palindrome (44044044).

The spelling of 444044040 in words is "four hundred forty-four million, forty-four thousand, forty".