4884800800 has 72 divisors (see below), whose sum is σ = 13009136112. Its totient is φ = 1776288000.

The previous prime is 4884800797. The next prime is 4884800807. The reversal of 4884800800 is 80084884.

It is a super-2 number, since 2×4884800800² = 47722557711361280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4884800807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268746 + ... + 286345.

It is an arithmetic number, because the mean of its divisors is an integer number (180682446).

Almost surely, 2^4884800800 is an apocalyptic number.

4884800800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4884800800 is an abundant number, since it is smaller than the sum of its proper divisors (8124335312).

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

4884800800 is a wasteful number, since it uses less digits than its factorization.

4884800800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555122 (or 555109 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 4884800800 is about 69891.3499655000. The cubic root of 4884800800 is about 1696.7412543886.

It can be divided in two parts, 48 and 84800800, that added together give a palindrome (84800848).

The spelling of 4884800800 in words is "four billion, eight hundred eighty-four million, eight hundred thousand, eight hundred".