4834800 has 180 divisors, whose sum is σ = 17989920. Its totient is φ = 1198080.

The previous prime is 4834777. The next prime is 4834801. The reversal of 4834800 is 84384.

It is a tau number, because it is divible by the number of its divisors (180).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4834801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61161 + ... + 61239.

It is an arithmetic number, because the mean of its divisors is an integer number (99944).

Almost surely, 2^4834800 is an apocalyptic number.

4834800 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 4834800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8994960).

4834800 is an abundant number, since it is smaller than the sum of its proper divisors (13155120).

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

4834800 is a wasteful number, since it uses less digits than its factorization.

4834800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4834800 is about 2198.8178642170. The cubic root of 4834800 is about 169.0932109547.

The spelling of 4834800 in words is "four million, eight hundred thirty-four thousand, eight hundred".