4412200 has 48 divisors (see below), whose sum is σ = 11053980. Its totient is φ = 1628160.

The previous prime is 4412189. The next prime is 4412201. The reversal of 4412200 is 22144.

It can be written as a sum of positive squares in 6 ways, for example, as 2022084 + 2390116 = 1422^2 + 1546^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (4412201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1752 + ... + 3448.

Almost surely, 2^4412200 is an apocalyptic number.

4412200 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 4412200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5526990).

4412200 is an abundant number, since it is smaller than the sum of its proper divisors (6641780).

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

4412200 is a wasteful number, since it uses less digits than its factorization.

4412200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 4412200 is about 2100.5237442124. The cubic root of 4412200 is about 164.0155646540.

Adding to 4412200 its reverse (22144), we get a palindrome (4434344).

The spelling of 4412200 in words is "four million, four hundred twelve thousand, two hundred".