204564000 has 96 divisors (see below), whose sum is σ = 670190976. Its totient is φ = 54547200.

The previous prime is 204563977. The next prime is 204564007. The reversal of 204564000 is 465402.

It is a happy number.

204564000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (204564007) 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, 3477 + ... + 20523.

It is an arithmetic number, because the mean of its divisors is an integer number (6981156).

Almost surely, 2^204564000 is an apocalyptic number.

204564000 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 204564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335095488).

204564000 is an abundant number, since it is smaller than the sum of its proper divisors (465626976).

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

204564000 is a wasteful number, since it uses less digits than its factorization.

204564000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17075 (or 17057 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 204564000 is about 14302.5871785492. The cubic root of 204564000 is about 589.2185383218.

The spelling of 204564000 in words is "two hundred four million, five hundred sixty-four thousand".