4483200 has 96 divisors (see below), whose sum is σ = 14798160. Its totient is φ = 1192960.

The previous prime is 4483181. The next prime is 4483201. The reversal of 4483200 is 23844.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (4483201) 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, 9367 + ... + 9833.

Almost surely, 2^4483200 is an apocalyptic number.

4483200 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 4483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7399080).

4483200 is an abundant number, since it is smaller than the sum of its proper divisors (10314960).

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

4483200 is a wasteful number, since it uses less digits than its factorization.

4483200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4483200 is about 2117.3568428586. The cubic root of 4483200 is about 164.8906529869.

The spelling of 4483200 in words is "four million, four hundred eighty-three thousand, two hundred".