4838979200 has 384 divisors, whose sum is σ = 14024102400. Its totient is φ = 1632153600.

The previous prime is 4838979181. The next prime is 4838979239. The reversal of 4838979200 is 29798384.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34812731 + ... + 34812869.

It is an arithmetic number, because the mean of its divisors is an integer number (36521100).

Almost surely, 2^4838979200 is an apocalyptic number.

4838979200 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 4838979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7012051200).

4838979200 is an abundant number, since it is smaller than the sum of its proper divisors (9185123200).

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

4838979200 is a wasteful number, since it uses less digits than its factorization.

4838979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 50.

The square root of 4838979200 is about 69562.7716526592. The cubic root of 4838979200 is about 1691.4191830064.

The spelling of 4838979200 in words is "four billion, eight hundred thirty-eight million, nine hundred seventy-nine thousand, two hundred".