200053800 has 240 divisors, whose sum is σ = 710964540. Its totient is φ = 52116480.

The previous prime is 200053771. The next prime is 200053813. The reversal of 200053800 is 8350002.

It can be written as a sum of positive squares in 6 ways, for example, as 63584676 + 136469124 = 7974^2 + 11682^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 59 ways as a sum of consecutive naturals, for example, 858484 + ... + 858716.

Almost surely, 2^200053800 is an apocalyptic number.

200053800 is a gapful number since it is divisible by the number (20) 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 200053800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355482270).

200053800 is an abundant number, since it is smaller than the sum of its proper divisors (510910740).

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

200053800 is a wasteful number, since it uses less digits than its factorization.

200053800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 200053800 is about 14144.0376130722. The cubic root of 200053800 is about 584.8559803262.

The spelling of 200053800 in words is "two hundred million, fifty-three thousand, eight hundred".