44200 has 48 divisors (see below), whose sum is σ = 117180. Its totient is φ = 15360.

The previous prime is 44189. The next prime is 44201. The reversal of 44200 is 244.

It can be written as a sum of positive squares in 6 ways, for example, as 13924 + 30276 = 118^2 + 174^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2592 + ... + 2608.

2⁴⁴²⁰⁰ is an apocalyptic number.

44200 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 44200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58590).

44200 is an abundant number, since it is smaller than the sum of its proper divisors (72980).

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

44200 is a wasteful number, since it uses less digits than its factorization.

44200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 44200 is about 210.2379604163. The cubic root of 44200 is about 35.3568926380.

Adding to 44200 its reverse (244), we get a palindrome (44444).

Subtracting from 44200 its reverse (244), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 44200 in words is "forty-four thousand, two hundred", and thus it is an iban number.