200204800 has 60 divisors (see below), whose sum is σ = 496054746. Its totient is φ = 80076800.

The previous prime is 200204791. The next prime is 200204821. The reversal of 200204800 is 8402002.

It can be written as a sum of positive squares in 3 ways, for example, as 194212096 + 5992704 = 13936^2 + 2448^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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 5 ways as a sum of consecutive naturals, for example, 4980 + ... + 20620.

Almost surely, 2^200204800 is an apocalyptic number.

200204800 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 200204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248027373).

200204800 is an abundant number, since it is smaller than the sum of its proper divisors (295849946).

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

200204800 is an equidigital number, since it uses as much as digits as its factorization.

200204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15669 (or 15648 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 200204800 is about 14149.3745444808. The cubic root of 200204800 is about 585.0030924910.

Adding to 200204800 its reverse (8402002), we get a palindrome (208606802).

It can be divided in two parts, 200 and 204800, that multiplied together give a 4-th power (40960000 = 80⁴).

The spelling of 200204800 in words is "two hundred million, two hundred four thousand, eight hundred".