4884200 has 24 divisors (see below), whose sum is σ = 11356230. Its totient is φ = 1953600.

The previous prime is 4884179. The next prime is 4884223. The reversal of 4884200 is 24884.

It can be written as a sum of positive squares in 3 ways, for example, as 1779556 + 3104644 = 1334^2 + 1762^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4884200.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12011 + ... + 12410.

Almost surely, 2^4884200 is an apocalyptic number.

4884200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4884200 is an abundant number, since it is smaller than the sum of its proper divisors (6472030).

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

4884200 is a wasteful number, since it uses less digits than its factorization.

4884200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24437 (or 24428 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 4884200 is about 2210.0226243186. The cubic root of 4884200 is about 169.6671688676.

It can be divided in two parts, 48 and 84200, that added together give a palindrome (84248).

The spelling of 4884200 in words is "four million, eight hundred eighty-four thousand, two hundred".