4836800 has 42 divisors (see below), whose sum is σ = 11905488. Its totient is φ = 1934080.

The previous prime is 4836787. The next prime is 4836809. The reversal of 4836800 is 86384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4836809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 89 + ... + 3111.

It is an arithmetic number, because the mean of its divisors is an integer number (283464).

Almost surely, 2^4836800 is an apocalyptic number.

4836800 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 4836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5952744).

4836800 is an abundant number, since it is smaller than the sum of its proper divisors (7068688).

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

4836800 is a wasteful number, since it uses less digits than its factorization.

4836800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3045 (or 3030 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 4836800 is about 2199.2726070226. The cubic root of 4836800 is about 169.1165238667.

The spelling of 4836800 in words is "four million, eight hundred thirty-six thousand, eight hundred".