204542400 has 168 divisors, whose sum is σ = 687368704. Its totient is φ = 53222400.

The previous prime is 204542389. The next prime is 204542411. The reversal of 204542400 is 4245402.

It is an interprime number because it is at equal distance from previous prime (204542389) and next prime (204542411).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205905 + ... + 206895.

Almost surely, 2^204542400 is an apocalyptic number.

204542400 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 204542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343684352).

204542400 is an abundant number, since it is smaller than the sum of its proper divisors (482826304).

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

204542400 is a wasteful number, since it uses less digits than its factorization.

204542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 204542400 is about 14301.8320504752. The cubic root of 204542400 is about 589.1977989796.

Adding to 204542400 its reverse (4245402), we get a palindrome (208787802).

The spelling of 204542400 in words is "two hundred four million, five hundred forty-two thousand, four hundred".