204946641 has 24 divisors (see below), whose sum is σ = 302330600. Its totient is φ = 133747200.

The previous prime is 204946639. The next prime is 204946681. The reversal of 204946641 is 146649402.

204946641 is a `hidden beast` number, since 2 + 0 + 4 + 9 + 4 + 6 + 641 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4016016 + 200930625 = 2004^2 + 14175^2 .

It is not a de Polignac number, because 204946641 - 2¹ = 204946639 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 204946596 and 204946605.

It is not an unprimeable number, because it can be changed into a prime (204946681) 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, 131535 + ... + 133083.

Almost surely, 2^204946641 is an apocalyptic number.

It is an amenable number.

204946641 is a deficient number, since it is larger than the sum of its proper divisors (97383959).

204946641 is a wasteful number, since it uses less digits than its factorization.

204946641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 204946641 is about 14315.9575648994. The cubic root of 204946641 is about 589.5856911303.

The spelling of 204946641 in words is "two hundred four million, nine hundred forty-six thousand, six hundred forty-one".