4884249600 has 792 divisors, whose sum is σ = 19600598160. Its totient is φ = 1156055040.

The previous prime is 4884249589. The next prime is 4884249613. The reversal of 4884249600 is 69424884.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 113587179 + ... + 113587221.

It is an arithmetic number, because the mean of its divisors is an integer number (24748230).

Almost surely, 2^4884249600 is an apocalyptic number.

4884249600 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 4884249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9800299080).

4884249600 is an abundant number, since it is smaller than the sum of its proper divisors (14716348560).

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

4884249600 is a wasteful number, since it uses less digits than its factorization.

4884249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 4884249600 is about 69887.4065908873. The cubic root of 4884249600 is about 1696.6774320003.

The spelling of 4884249600 in words is "four billion, eight hundred eighty-four million, two hundred forty-nine thousand, six hundred".