4816800 has 144 divisors (see below), whose sum is σ = 17498880. Its totient is φ = 1278720.

The previous prime is 4816789. The next prime is 4816837. The reversal of 4816800 is 86184.

4816800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21489 + ... + 21711.

It is an arithmetic number, because the mean of its divisors is an integer number (121520).

Almost surely, 2^4816800 is an apocalyptic number.

4816800 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 4816800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8749440).

4816800 is an abundant number, since it is smaller than the sum of its proper divisors (12682080).

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

4816800 is a wasteful number, since it uses less digits than its factorization.

4816800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 4816800 is about 2194.7209389806. The cubic root of 4816800 is about 168.8831048599.

The spelling of 4816800 in words is "four million, eight hundred sixteen thousand, eight hundred".