204760400 has 120 divisors (see below), whose sum is σ = 535200120. Its totient is φ = 75279360.

The previous prime is 204760357. The next prime is 204760403. The reversal of 204760400 is 4067402.

It can be written as a sum of positive squares in 12 ways, for example, as 202663696 + 2096704 = 14236^2 + 1448^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204760403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 878684 + ... + 878916.

It is an arithmetic number, because the mean of its divisors is an integer number (4460001).

Almost surely, 2^204760400 is an apocalyptic number.

204760400 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 204760400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267600060).

204760400 is an abundant number, since it is smaller than the sum of its proper divisors (330439720).

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

204760400 is a wasteful number, since it uses less digits than its factorization.

204760400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 204760400 is about 14309.4514220497. The cubic root of 204760400 is about 589.4070457587.

The spelling of 204760400 in words is "two hundred four million, seven hundred sixty thousand, four hundred".