204573480804 has 405 divisors, whose sum is σ = 669211982985. Its totient is φ = 52538935680.

The previous prime is 204573480751. The next prime is 204573480817. The reversal of 204573480804 is 408084375402.

It is a happy number.

The square root of 204573480804 is 452298.

It is a perfect power (a square), and thus also a powerful number.

204573480804 is a `hidden beast` number, since 20 + 4 + 5 + 73 + 480 + 80 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39282447204 + 165291033600 = 198198^2 + 406560^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 204573480804.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2298578392 + ... + 2298578480.

Almost surely, 2^204573480804 is an apocalyptic number.

204573480804 is the 452298-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204573480804

204573480804 is an abundant number, since it is smaller than the sum of its proper divisors (464638502181).

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

204573480804 is an equidigital number, since it uses as much as digits as its factorization.

204573480804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 204573480804 in words is "two hundred four billion, five hundred seventy-three million, four hundred eighty thousand, eight hundred four".