204946848 has 120 divisors (see below), whose sum is σ = 619323012. Its totient is φ = 66438144.

The previous prime is 204946829. The next prime is 204946867. The reversal of 204946848 is 848649402.

204946848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (204946829) and next prime (204946867).

It can be written as a sum of positive squares in 2 ways, for example, as 204261264 + 685584 = 14292^2 + 828^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 94836 + ... + 96972.

Almost surely, 2^204946848 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 204946848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309661506).

204946848 is an abundant number, since it is smaller than the sum of its proper divisors (414376164).

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

204946848 is a wasteful number, since it uses less digits than its factorization.

204946848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 204946848 is about 14315.9647945921. The cubic root of 204946848 is about 589.5858896278.

The spelling of 204946848 in words is "two hundred four million, nine hundred forty-six thousand, eight hundred forty-eight".