204640200 has 144 divisors (see below), whose sum is σ = 717275520. Its totient is φ = 52187520.

The previous prime is 204640199. The next prime is 204640213. The reversal of 204640200 is 2046402.

204640200 is a `hidden beast` number, since 2 + 0 + 4 + 640 + 20 + 0 = 666.

It is a super-2 number, since 2×204640200² = 83755222912080000, which contains 22 as substring.

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

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 35 ways as a sum of consecutive naturals, for example, 38929 + ... + 43871.

It is an arithmetic number, because the mean of its divisors is an integer number (4981080).

Almost surely, 2^204640200 is an apocalyptic number.

204640200 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 204640200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358637760).

204640200 is an abundant number, since it is smaller than the sum of its proper divisors (512635320).

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

204640200 is a wasteful number, since it uses less digits than its factorization.

204640200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4988 (or 4976 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 204640200 is about 14305.2507842400. The cubic root of 204640200 is about 589.2916904549.

Adding to 204640200 its reverse (2046402), we get a palindrome (206686602).

Multiplying 204640200 by its reverse (2046402), we get a square (418776114560400 = 20464020²).

204640200 divided by its reverse (2046402) gives a square (100 = 10²).

The spelling of 204640200 in words is "two hundred four million, six hundred forty thousand, two hundred".