444480000 has 200 divisors, whose sum is σ = 1482875328. Its totient is φ = 118272000.

The previous prime is 444479993. The next prime is 444480007. The reversal of 444480000 is 84444.

It is an interprime number because it is at equal distance from previous prime (444479993) and next prime (444480007).

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (444480007) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 959769 + ... + 960231.

Almost surely, 2^444480000 is an apocalyptic number.

444480000 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 444480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741437664).

444480000 is an abundant number, since it is smaller than the sum of its proper divisors (1038395328).

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

444480000 is an frugal number, since it uses more digits than its factorization.

444480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 444480000 is about 21082.6943249671. The cubic root of 444480000 is about 763.1631783017.

The spelling of 444480000 in words is "four hundred forty-four million, four hundred eighty thousand".