204066504 has 96 divisors (see below), whose sum is σ = 605475000. Its totient is φ = 61802496.

The previous prime is 204066503. The next prime is 204066571. The reversal of 204066504 is 405660402.

It is a happy number.

204066504 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 6 + 650 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 146458404 + 57608100 = 12102^2 + 7590^2 .

It is not an unprimeable number, because it can be changed into a prime (204066503) 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, 32622 + ... + 38370.

Almost surely, 2^204066504 is an apocalyptic number.

204066504 is a gapful number since it is divisible by the number (24) 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 204066504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302737500).

204066504 is an abundant number, since it is smaller than the sum of its proper divisors (401408496).

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

204066504 is a wasteful number, since it uses less digits than its factorization.

204066504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5807 (or 5800 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 204066504 is about 14285.1847730437. The cubic root of 204066504 is about 588.7404942547.

The spelling of 204066504 in words is "two hundred four million, sixty-six thousand, five hundred four".