4825735200 has 864 divisors, whose sum is σ = 20644303680. Its totient is φ = 1045094400.

The previous prime is 4825735181. The next prime is 4825735207. The reversal of 4825735200 is 25375284.

4825735200 is a `hidden beast` number, since 4 + 82 + 57 + 3 + 520 + 0 = 666.

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 (4825735207) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 44272746 + ... + 44272854.

It is an arithmetic number, because the mean of its divisors is an integer number (23893870).

Almost surely, 2^4825735200 is an apocalyptic number.

4825735200 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 4825735200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10322151840).

4825735200 is an abundant number, since it is smaller than the sum of its proper divisors (15818568480).

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

4825735200 is a wasteful number, since it uses less digits than its factorization.

4825735200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 4825735200 is about 69467.5118310711. The cubic root of 4825735200 is about 1689.8746682962.

The spelling of 4825735200 in words is "four billion, eight hundred twenty-five million, seven hundred thirty-five thousand, two hundred".