4884800 has 84 divisors (see below), whose sum is σ = 12472416. Its totient is φ = 1881600.

The previous prime is 4884793. The next prime is 4884811. The reversal of 4884800 is 84884.

It is a super-2 number, since 2×4884800² = 47722542080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68765 + ... + 68835.

Almost surely, 2^4884800 is an apocalyptic number.

4884800 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 4884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6236208).

4884800 is an abundant number, since it is smaller than the sum of its proper divisors (7587616).

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

4884800 is a wasteful number, since it uses less digits than its factorization.

4884800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 4884800 is about 2210.1583653666. The cubic root of 4884800 is about 169.6741161762.

It can be divided in two parts, 48 and 84800, that added together give a palindrome (84848).

The spelling of 4884800 in words is "four million, eight hundred eighty-four thousand, eight hundred".