200641284900 has 729 divisors, whose sum is σ = 769413162609. Its totient is φ = 45280347840.

The previous prime is 200641284889. The next prime is 200641284901. The reversal of 200641284900 is 9482146002.

The square root of 200641284900 is 447930.

It is a perfect power (a square), and thus also a powerful number.

200641284900 is a `hidden beast` number, since 2 + 0 + 0 + 641 + 2 + 8 + 4 + 9 + 0 + 0 = 666.

200641284900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 72230862564 + 128410422336 = 268758^2 + 358344^2 .

It is a tau number, because it is divible by the number of its divisors (729).

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

It is not an unprimeable number, because it can be changed into a prime (200641284901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 2539763061 + ... + 2539763139.

Almost surely, 2^200641284900 is an apocalyptic number.

200641284900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

200641284900 is the 447930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200641284900

200641284900 is an abundant number, since it is smaller than the sum of its proper divisors (568771877709).

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

200641284900 is an frugal number, since it uses more digits than its factorization.

200641284900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Multiplying 200641284900 by its sum of digits (36), we get a square (7223086256400 = 2687580²).

200641284900 divided by its sum of digits (36) gives a square (5573369025 = 74655²).

The spelling of 200641284900 in words is "two hundred billion, six hundred forty-one million, two hundred eighty-four thousand, nine hundred".