444225200 has 60 divisors (see below), whose sum is σ = 1090004640. Its totient is φ = 173902080.

The previous prime is 444225191. The next prime is 444225227. The reversal of 444225200 is 2522444.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6986 + ... + 30614.

It is an arithmetic number, because the mean of its divisors is an integer number (18166744).

Almost surely, 2^444225200 is an apocalyptic number.

444225200 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 444225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545002320).

444225200 is an abundant number, since it is smaller than the sum of its proper divisors (645779440).

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

444225200 is a wasteful number, since it uses less digits than its factorization.

444225200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23694 (or 23683 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

The square root of 444225200 is about 21076.6505877950. The cubic root of 444225200 is about 763.0173216101.

Adding to 444225200 its reverse (2522444), we get a palindrome (446747644).

The spelling of 444225200 in words is "four hundred forty-four million, two hundred twenty-five thousand, two hundred".