444081680 has 80 divisors (see below), whose sum is σ = 1242122880. Its totient is φ = 144239616.

The previous prime is 444081679. The next prime is 444081697. The reversal of 444081680 is 86180444.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 444081680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10229 + ... + 31508.

It is an arithmetic number, because the mean of its divisors is an integer number (15526536).

Almost surely, 2^444081680 is an apocalyptic number.

444081680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444081680 is an abundant number, since it is smaller than the sum of its proper divisors (798041200).

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

444081680 is a wasteful number, since it uses less digits than its factorization.

444081680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41776 (or 41770 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 444081680 is about 21073.2455972022. The cubic root of 444081680 is about 762.9351410393.

The spelling of 444081680 in words is "four hundred forty-four million, eighty-one thousand, six hundred eighty".