4844484800 has 168 divisors, whose sum is σ = 12441234960. Its totient is φ = 1854361600.

The previous prime is 4844484751. The next prime is 4844484817. The reversal of 4844484800 is 84844484.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6078002 + ... + 6078798.

It is an arithmetic number, because the mean of its divisors is an integer number (74054970).

Almost surely, 2^4844484800 is an apocalyptic number.

4844484800 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 4844484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6220617480).

4844484800 is an abundant number, since it is smaller than the sum of its proper divisors (7596750160).

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

4844484800 is a wasteful number, since it uses less digits than its factorization.

4844484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 44.

The square root of 4844484800 is about 69602.3332942223. Note that the first 3 decimals coincide. The cubic root of 4844484800 is about 1692.0604165935.

The spelling of 4844484800 in words is "four billion, eight hundred forty-four million, four hundred eighty-four thousand, eight hundred".