204001000 has 128 divisors (see below), whose sum is σ = 552015360. Its totient is φ = 69120000.

The previous prime is 204000983. The next prime is 204001001. The reversal of 204001000 is 100402.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (204001001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1056904 + ... + 1057096.

It is an arithmetic number, because the mean of its divisors is an integer number (4312620).

Almost surely, 2^204001000 is an apocalyptic number.

204001000 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 204001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276007680).

204001000 is an abundant number, since it is smaller than the sum of its proper divisors (348014360).

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

204001000 is a wasteful number, since it uses less digits than its factorization.

204001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 204001000 is about 14282.8918640449. The cubic root of 204001000 is about 588.6774935765.

Adding to 204001000 its reverse (100402), we get a palindrome (204101402).

The spelling of 204001000 in words is "two hundred four million, one thousand".