4484200 has 48 divisors (see below), whose sum is σ = 11918880. Its totient is φ = 1536960.

The previous prime is 4484197. The next prime is 4484201. The reversal of 4484200 is 24844.

4484200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4484201) 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, 202 + ... + 3001.

It is an arithmetic number, because the mean of its divisors is an integer number (248310).

Almost surely, 2^4484200 is an apocalyptic number.

4484200 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 4484200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5959440).

4484200 is an abundant number, since it is smaller than the sum of its proper divisors (7434680).

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

4484200 is a wasteful number, since it uses less digits than its factorization.

4484200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3226 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 4484200 is about 2117.5929731655. The cubic root of 4484200 is about 164.9029119682.

The spelling of 4484200 in words is "four million, four hundred eighty-four thousand, two hundred".