4985267200 has 132 divisors (see below), whose sum is σ = 12433764580. Its totient is φ = 1981808640.

The previous prime is 4985267197. The next prime is 4985267207. The reversal of 4985267200 is 27625894.

It can be written as a sum of positive squares in 6 ways, for example, as 673506304 + 4311760896 = 25952^2 + 65664^2 .

It is not an unprimeable number, because it can be changed into a prime (4985267207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4940296 + ... + 4941304.

Almost surely, 2^4985267200 is an apocalyptic number.

4985267200 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 4985267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6216882290).

4985267200 is an abundant number, since it is smaller than the sum of its proper divisors (7448497380).

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

4985267200 is a wasteful number, since it uses less digits than its factorization.

4985267200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 4985267200 is about 70606.4246368558. The cubic root of 4985267200 is about 1708.2947787981.

The spelling of 4985267200 in words is "four billion, nine hundred eighty-five million, two hundred sixty-seven thousand, two hundred".