444449680 has 40 divisors (see below), whose sum is σ = 1042846200. Its totient is φ = 176145408.

The previous prime is 444449647. The next prime is 444449701. The reversal of 444449680 is 86944444.

It can be written as a sum of positive squares in 4 ways, for example, as 22886656 + 421563024 = 4784^2 + 20532^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16765 + ... + 34204.

It is an arithmetic number, because the mean of its divisors is an integer number (26071155).

Almost surely, 2^444449680 is an apocalyptic number.

444449680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444449680 is an abundant number, since it is smaller than the sum of its proper divisors (598396520).

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

444449680 is a wasteful number, since it uses less digits than its factorization.

444449680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51091 (or 51085 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 43.

The square root of 444449680 is about 21081.9752395263. The cubic root of 444449680 is about 763.1458249646.

The spelling of 444449680 in words is "four hundred forty-four million, four hundred forty-nine thousand, six hundred eighty".