204040200 has 384 divisors, whose sum is σ = 807448320. Its totient is φ = 41472000.

The previous prime is 204040129. The next prime is 204040217. The reversal of 204040200 is 2040402.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2020150 + ... + 2020250.

It is an arithmetic number, because the mean of its divisors is an integer number (2102730).

Almost surely, 2^204040200 is an apocalyptic number.

204040200 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 204040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403724160).

204040200 is an abundant number, since it is smaller than the sum of its proper divisors (603408120).

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

204040200 is a wasteful number, since it uses less digits than its factorization.

204040200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 168 counting only the distinct ones).

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

The square root of 204040200 is about 14284.2640692477. The cubic root of 204040200 is about 588.7151971169.

Adding to 204040200 its reverse (2040402), we get a palindrome (206080602).

Multiplying 204040200 by its reverse (2040402), we get a square (416324032160400 = 20404020²).

204040200 divided by its reverse (2040402) gives a square (100 = 10²).

The spelling of 204040200 in words is "two hundred four million, forty thousand, two hundred".