204400560 has 320 divisors, whose sum is σ = 799948800. Its totient is φ = 42900480.

The previous prime is 204400541. The next prime is 204400579. The reversal of 204400560 is 65004402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (204400541) and next prime (204400579).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1070065 + ... + 1070255.

It is an arithmetic number, because the mean of its divisors is an integer number (2499840).

Almost surely, 2^204400560 is an apocalyptic number.

204400560 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 204400560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399974400).

204400560 is an abundant number, since it is smaller than the sum of its proper divisors (595548240).

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

204400560 is a wasteful number, since it uses less digits than its factorization.

204400560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 204400560 is about 14296.8723852457. The cubic root of 204400560 is about 589.0615743453.

Adding to 204400560 its reverse (65004402), we get a palindrome (269404962).

The spelling of 204400560 in words is "two hundred four million, four hundred thousand, five hundred sixty".