444344080 has 80 divisors (see below), whose sum is σ = 1074931200. Its totient is φ = 170634240.

The previous prime is 444344077. The next prime is 444344123. The reversal of 444344080 is 80443444.

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

It is a super-2 number, since 2×444344080² = 394883322862092800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

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 15 ways as a sum of consecutive naturals, for example, 344076 + ... + 345364.

It is an arithmetic number, because the mean of its divisors is an integer number (13436640).

Almost surely, 2^444344080 is an apocalyptic number.

444344080 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 444344080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537465600).

444344080 is an abundant number, since it is smaller than the sum of its proper divisors (630587120).

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

444344080 is a wasteful number, since it uses less digits than its factorization.

444344080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

The square root of 444344080 is about 21079.4705815872. The cubic root of 444344080 is about 763.0853797398.

The spelling of 444344080 in words is "four hundred forty-four million, three hundred forty-four thousand, eighty".