204201000 has 160 divisors (see below), whose sum is σ = 714079080. Its totient is φ = 54432000.

The previous prime is 204200993. The next prime is 204201043. The reversal of 204201000 is 102402.

It can be written as a sum of positive squares in 4 ways, for example, as 7584516 + 196616484 = 2754^2 + 14022^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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 39 ways as a sum of consecutive naturals, for example, 79740 + ... + 82260.

Almost surely, 2^204201000 is an apocalyptic number.

204201000 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 204201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357039540).

204201000 is an abundant number, since it is smaller than the sum of its proper divisors (509878080).

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

204201000 is a wasteful number, since it uses less digits than its factorization.

204201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2554 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 204201000 is about 14289.8915321286. The cubic root of 204201000 is about 588.8698080655.

Adding to 204201000 its reverse (102402), we get a palindrome (204303402).

The spelling of 204201000 in words is "two hundred four million, two hundred one thousand".