444130080 has 48 divisors (see below), whose sum is σ = 1399011264. Its totient is φ = 118434560.

The previous prime is 444130079. The next prime is 444130121. The reversal of 444130080 is 80031444.

It is a tau number, because it is divible by the number of its divisors (48).

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 444130080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 462156 + ... + 463115.

It is an arithmetic number, because the mean of its divisors is an integer number (29146068).

Almost surely, 2^444130080 is an apocalyptic number.

444130080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444130080 is an abundant number, since it is smaller than the sum of its proper divisors (954881184).

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

444130080 is a wasteful number, since it uses less digits than its factorization.

444130080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925289 (or 925281 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 444130080 is about 21074.3939414637. The cubic root of 444130080 is about 762.9628572014.

The spelling of 444130080 in words is "four hundred forty-four million, one hundred thirty thousand, eighty".