4830883200 has 1536 divisors, whose sum is σ = 22948531200. Its totient is φ = 973209600.

The previous prime is 4830883181. The next prime is 4830883271. The reversal of 4830883200 is 23880384.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 210038389 + ... + 210038411.

It is an arithmetic number, because the mean of its divisors is an integer number (14940450).

Almost surely, 2^4830883200 is an apocalyptic number.

4830883200 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 4830883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11474265600).

4830883200 is an abundant number, since it is smaller than the sum of its proper divisors (18117648000).

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

4830883200 is a wasteful number, since it uses less digits than its factorization.

4830883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4830883200 is about 69504.5552464009. Note that the first 3 decimals coincide. The cubic root of 4830883200 is about 1690.4753631670.

The spelling of 4830883200 in words is "four billion, eight hundred thirty million, eight hundred eighty-three thousand, two hundred".