204796980 has 72 divisors (see below), whose sum is σ = 623927304. Its totient is φ = 54374400.

The previous prime is 204796979. The next prime is 204796987. The reversal of 204796980 is 89697402.

It is a happy number.

204796980 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 42693156 + 162103824 = 6534^2 + 12732^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204796987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41020 + ... + 45740.

It is an arithmetic number, because the mean of its divisors is an integer number (8665657).

Almost surely, 2^204796980 is an apocalyptic number.

204796980 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 204796980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311963652).

204796980 is an abundant number, since it is smaller than the sum of its proper divisors (419130324).

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

204796980 is a wasteful number, since it uses less digits than its factorization.

204796980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4977 (or 4972 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 204796980 is about 14310.7295411520. The cubic root of 204796980 is about 589.4421424309.

The spelling of 204796980 in words is "two hundred four million, seven hundred ninety-six thousand, nine hundred eighty".