4849588800 has 1008 divisors, whose sum is σ = 21543264000. Its totient is φ = 1056706560.

The previous prime is 4849588781. The next prime is 4849588811. The reversal of 4849588800 is 88859484.

4849588800 is a `hidden beast` number, since 484 + 9 + 5 + 88 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 61387161 + ... + 61387239.

Almost surely, 2^4849588800 is an apocalyptic number.

4849588800 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 4849588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10771632000).

4849588800 is an abundant number, since it is smaller than the sum of its proper divisors (16693675200).

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

4849588800 is a wasteful number, since it uses less digits than its factorization.

4849588800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The square root of 4849588800 is about 69638.9890793943. The cubic root of 4849588800 is about 1692.6544422760.

The spelling of 4849588800 in words is "four billion, eight hundred forty-nine million, five hundred eighty-eight thousand, eight hundred".