444001200 has 120 divisors (see below), whose sum is σ = 1484214528. Its totient is φ = 113245440.

The previous prime is 444001199. The next prime is 444001211. The reversal of 444001200 is 2100444.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 444001200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19557 + ... + 35643.

Almost surely, 2^444001200 is an apocalyptic number.

444001200 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 444001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742107264).

444001200 is an abundant number, since it is smaller than the sum of its proper divisors (1040213328).

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

444001200 is a wasteful number, since it uses less digits than its factorization.

444001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16131 (or 16120 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 444001200 is about 21071.3359804261. The cubic root of 444001200 is about 762.8890498715.

Adding to 444001200 its reverse (2100444), we get a palindrome (446101644).

The spelling of 444001200 in words is "four hundred forty-four million, one thousand, two hundred".