204564564 has 144 divisors (see below), whose sum is σ = 572644800. Its totient is φ = 61337088.

The previous prime is 204564541. The next prime is 204564589. The reversal of 204564564 is 465465402.

204564564 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 645 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1493104 + ... + 1493240.

It is an arithmetic number, because the mean of its divisors is an integer number (3976700).

Almost surely, 2^204564564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204564564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286322400).

204564564 is an abundant number, since it is smaller than the sum of its proper divisors (368080236).

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

204564564 is a wasteful number, since it uses less digits than its factorization.

204564564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 204564564 is about 14302.6068952482. The cubic root of 204564564 is about 589.2190798295.

The spelling of 204564564 in words is "two hundred four million, five hundred sixty-four thousand, five hundred sixty-four".