444081200 has 120 divisors (see below), whose sum is σ = 1121832960. Its totient is φ = 168710400.

The previous prime is 444081193. The next prime is 444081203. The reversal of 444081200 is 2180444.

It is a super-2 number, since 2×444081200² = 394416224386880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (444081203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 731297 + ... + 731903.

It is an arithmetic number, because the mean of its divisors is an integer number (9348608).

Almost surely, 2^444081200 is an apocalyptic number.

444081200 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 444081200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560916480).

444081200 is an abundant number, since it is smaller than the sum of its proper divisors (677751760).

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

444081200 is a wasteful number, since it uses less digits than its factorization.

444081200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 444081200 is about 21073.2342083506. The cubic root of 444081200 is about 762.9348661582.

The spelling of 444081200 in words is "four hundred forty-four million, eighty-one thousand, two hundred".