204611472 has 120 divisors (see below), whose sum is σ = 638110200. Its totient is φ = 60770304.

The previous prime is 204611467. The next prime is 204611479. The reversal of 204611472 is 274116402.

204611472 is a `hidden beast` number, since 2 + 0 + 4 + 611 + 47 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29419776 + 175191696 = 5424^2 + 13236^2 .

It is not an unprimeable number, because it can be changed into a prime (204611479) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52404 + ... + 56172.

It is an arithmetic number, because the mean of its divisors is an integer number (5317585).

Almost surely, 2^204611472 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 204611472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319055100).

204611472 is an abundant number, since it is smaller than the sum of its proper divisors (433498728).

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

204611472 is a wasteful number, since it uses less digits than its factorization.

204611472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3825 (or 3816 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 204611472 is about 14304.2466421689. The cubic root of 204611472 is about 589.2641136577.

Adding to 204611472 its reverse (274116402), we get a palindrome (478727874).

The spelling of 204611472 in words is "two hundred four million, six hundred eleven thousand, four hundred seventy-two".