4854751200 has 864 divisors, whose sum is σ = 20422505376. Its totient is φ = 1114767360.

The previous prime is 4854751171. The next prime is 4854751201. The reversal of 4854751200 is 21574584.

4854751200 is a `hidden beast` number, since 48 + 547 + 51 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4854751201) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 42962344 + ... + 42962456.

It is an arithmetic number, because the mean of its divisors is an integer number (23637159).

Almost surely, 2^4854751200 is an apocalyptic number.

4854751200 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 4854751200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10211252688).

4854751200 is an abundant number, since it is smaller than the sum of its proper divisors (15567754176).

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

4854751200 is a wasteful number, since it uses less digits than its factorization.

4854751200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 4854751200 is about 69676.0446638585. The cubic root of 4854751200 is about 1693.2548409824.

The spelling of 4854751200 in words is "four billion, eight hundred fifty-four million, seven hundred fifty-one thousand, two hundred".