204401000 has 64 divisors (see below), whose sum is σ = 499150080. Its totient is φ = 78196800.

The previous prime is 204400997. The next prime is 204401009. The reversal of 204401000 is 104402.

204401000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (204401009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18557 + ... + 27443.

It is an arithmetic number, because the mean of its divisors is an integer number (7799220).

Almost surely, 2^204401000 is an apocalyptic number.

204401000 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 204401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249575040).

204401000 is an abundant number, since it is smaller than the sum of its proper divisors (294749080).

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

204401000 is a wasteful number, since it uses less digits than its factorization.

204401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8931 (or 8917 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 204401000 is about 14296.8877732183. The cubic root of 204401000 is about 589.0619970234.

Adding to 204401000 its reverse (104402), we get a palindrome (204505402).

The spelling of 204401000 in words is "two hundred four million, four hundred one thousand".