44221200 has 120 divisors (see below), whose sum is σ = 145118688. Its totient is φ = 11504640.

The previous prime is 44221193. The next prime is 44221211. The reversal of 44221200 is 212244.

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 44221200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51172 + ... + 52028.

Almost surely, 2^44221200 is an apocalyptic number.

44221200 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 44221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72559344).

44221200 is an abundant number, since it is smaller than the sum of its proper divisors (100897488).

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

44221200 is a wasteful number, since it uses less digits than its factorization.

44221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 910 counting only the distinct ones).

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

The square root of 44221200 is about 6649.9022549207. The cubic root of 44221200 is about 353.6254457095.

Adding to 44221200 its reverse (212244), we get a palindrome (44433444).

The spelling of 44221200 in words is "forty-four million, two hundred twenty-one thousand, two hundred".