4441200 has 60 divisors (see below), whose sum is σ = 14230488. Its totient is φ = 1184000.

The previous prime is 4441187. The next prime is 4441207. The reversal of 4441200 is 21444.

It is a tau number, because it is divible by the number of its divisors (60).

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 4441200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4441207) 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, 651 + ... + 3050.

Almost surely, 2^4441200 is an apocalyptic number.

4441200 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 4441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7115244).

4441200 is an abundant number, since it is smaller than the sum of its proper divisors (9789288).

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

4441200 is a wasteful number, since it uses less digits than its factorization.

4441200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3722 (or 3711 counting only the distinct ones).

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

The square root of 4441200 is about 2107.4154787322. The cubic root of 4441200 is about 164.3741211093.

Adding to 4441200 its reverse (21444), we get a palindrome (4462644).

The spelling of 4441200 in words is "four million, four hundred forty-one thousand, two hundred".