4839200 has 72 divisors (see below), whose sum is σ = 12374208. Its totient is φ = 1844480.

The previous prime is 4839187. The next prime is 4839227. The reversal of 4839200 is 29384.

It is a self number, because there is not a number n which added to its sum of digits gives 4839200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18269 + ... + 18531.

It is an arithmetic number, because the mean of its divisors is an integer number (171864).

Almost surely, 2^4839200 is an apocalyptic number.

4839200 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 4839200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6187104).

4839200 is an abundant number, since it is smaller than the sum of its proper divisors (7535008).

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

4839200 is a wasteful number, since it uses less digits than its factorization.

4839200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 4839200 is about 2199.8181743044. The cubic root of 4839200 is about 169.1444908796.

The spelling of 4839200 in words is "four million, eight hundred thirty-nine thousand, two hundred".