4834200 has 96 divisors (see below), whose sum is σ = 17141760. Its totient is φ = 1104000.

The previous prime is 4834147. The next prime is 4834201. The reversal of 4834200 is 24384.

It is a happy number.

4834200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4834201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3625 + ... + 4775.

It is an arithmetic number, because the mean of its divisors is an integer number (178560).

Almost surely, 2^4834200 is an apocalyptic number.

4834200 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 4834200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8570880).

4834200 is an abundant number, since it is smaller than the sum of its proper divisors (12307560).

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

4834200 is a wasteful number, since it uses less digits than its factorization.

4834200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1168 counting only the distinct ones).

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

The square root of 4834200 is about 2198.6814230352. The cubic root of 4834200 is about 169.0862158274.

Adding to 4834200 its reverse (24384), we get a palindrome (4858584).

The spelling of 4834200 in words is "four million, eight hundred thirty-four thousand, two hundred".