204004020 has 192 divisors, whose sum is σ = 661893120. Its totient is φ = 46464000.

The previous prime is 204004013. The next prime is 204004039. The reversal of 204004020 is 20400402.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 204003987 and 204004005.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1350945 + ... + 1351095.

It is an arithmetic number, because the mean of its divisors is an integer number (3447360).

Almost surely, 2^204004020 is an apocalyptic number.

204004020 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 204004020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330946560).

204004020 is an abundant number, since it is smaller than the sum of its proper divisors (457889100).

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

204004020 is a wasteful number, since it uses less digits than its factorization.

204004020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 204004020 is about 14282.9975845409. The cubic root of 204004020 is about 588.6803984598.

Adding to 204004020 its reverse (20400402), we get a palindrome (224404422).

The spelling of 204004020 in words is "two hundred four million, four thousand, twenty".