444504480 has 144 divisors (see below), whose sum is σ = 1628877600. Its totient is φ = 101595648.

The previous prime is 444504479. The next prime is 444504503. The reversal of 444504480 is 84405444.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14071 + ... + 32969.

It is an arithmetic number, because the mean of its divisors is an integer number (11311650).

Almost surely, 2^444504480 is an apocalyptic number.

444504480 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 444504480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814438800).

444504480 is an abundant number, since it is smaller than the sum of its proper divisors (1184373120).

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

444504480 is a wasteful number, since it uses less digits than its factorization.

444504480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18931 (or 18916 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 33.

The square root of 444504480 is about 21083.2748879295. The cubic root of 444504480 is about 763.1771885996.

The spelling of 444504480 in words is "four hundred forty-four million, five hundred four thousand, four hundred eighty".