205805000480 has 24 divisors (see below), whose sum is σ = 486214314012. Its totient is φ = 82322000128.

The previous prime is 205805000447. The next prime is 205805000521. The reversal of 205805000480 is 84000508502.

It can be written as a sum of positive squares in 2 ways, for example, as 200621576464 + 5183424016 = 447908^2 + 71996^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 643140467 + ... + 643140786.

Almost surely, 2^205805000480 is an apocalyptic number.

205805000480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205805000480 is an abundant number, since it is smaller than the sum of its proper divisors (280409313532).

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

205805000480 is a wasteful number, since it uses less digits than its factorization.

205805000480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286281268 (or 1286281260 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

Adding to 205805000480 its reverse (84000508502), we get a palindrome (289805508982).

The spelling of 205805000480 in words is "two hundred five billion, eight hundred five million, four hundred eighty", and thus it is an aban number.