204040400 has 30 divisors (see below), whose sum is σ = 490208022. Its totient is φ = 81616000.

The previous prime is 204040399. The next prime is 204040423. The reversal of 204040400 is 4040402.

It can be written as a sum of positive squares in 3 ways, for example, as 7744 + 204032656 = 88^2 + 14284^2 .

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 5 ways as a sum of consecutive naturals, for example, 254651 + ... + 255450.

Almost surely, 2^204040400 is an apocalyptic number.

204040400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204040400 is an abundant number, since it is smaller than the sum of its proper divisors (286167622).

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

204040400 is a wasteful number, since it uses less digits than its factorization.

204040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510119 (or 510108 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 204040400 is about 14284.2710699566. The cubic root of 204040400 is about 588.7153894695.

Adding to 204040400 its reverse (4040402), we get a palindrome (208080802).

The spelling of 204040400 in words is "two hundred four million, forty thousand, four hundred".