204204420 has 144 divisors (see below), whose sum is σ = 724563840. Its totient is φ = 45577728.

The previous prime is 204204379. The next prime is 204204421. The reversal of 204204420 is 24402402.

204204420 is a `hidden beast` number, since 204 + 20 + 442 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 204204393 and 204204402.

It is not an unprimeable number, because it can be changed into a prime (204204421) 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 47 ways as a sum of consecutive naturals, for example, 52296 + ... + 56064.

Almost surely, 2^204204420 is an apocalyptic number.

204204420 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 204204420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362281920).

204204420 is an abundant number, since it is smaller than the sum of its proper divisors (520359420).

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

204204420 is a wasteful number, since it uses less digits than its factorization.

204204420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3834 (or 3829 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 204204420 is about 14290.0111966366. The cubic root of 204204420 is about 588.8730955510.

Adding to 204204420 its reverse (24402402), we get a palindrome (228606822).

The spelling of 204204420 in words is "two hundred four million, two hundred four thousand, four hundred twenty".