204585472 has 80 divisors (see below), whose sum is σ = 503217792. Its totient is φ = 80916480.

The previous prime is 204585439. The next prime is 204585487. The reversal of 204585472 is 274585402.

It is a happy number.

204585472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44397 + ... + 48787.

Almost surely, 2^204585472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204585472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251608896).

204585472 is an abundant number, since it is smaller than the sum of its proper divisors (298632320).

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

204585472 is an equidigital number, since it uses as much as digits as its factorization.

204585472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4429 (or 4413 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 37.

The square root of 204585472 is about 14303.3377922777. The cubic root of 204585472 is about 589.2391533173.

The spelling of 204585472 in words is "two hundred four million, five hundred eighty-five thousand, four hundred seventy-two".