444820880 has 80 divisors (see below), whose sum is σ = 1186424064. Its totient is φ = 151933440.

The previous prime is 444820841. The next prime is 444820921. The reversal of 444820880 is 88028444.

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

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, 162725 + ... + 165435.

Almost surely, 2^444820880 is an apocalyptic number.

444820880 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 444820880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593212032).

444820880 is an abundant number, since it is smaller than the sum of its proper divisors (741603184).

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

444820880 is a wasteful number, since it uses less digits than its factorization.

444820880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024 (or 3018 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 38.

The square root of 444820880 is about 21090.7771312486. Note that the first 3 decimals coincide. The cubic root of 444820880 is about 763.3582231396.

The spelling of 444820880 in words is "four hundred forty-four million, eight hundred twenty thousand, eight hundred eighty".