204490368 has 96 divisors (see below), whose sum is σ = 608832900. Its totient is φ = 65802240.

The previous prime is 204490343. The next prime is 204490381. The reversal of 204490368 is 863094402.

It is a happy number.

204490368 is a `hidden beast` number, since 204 + 4 + 90 + 368 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 195776064 + 8714304 = 13992^2 + 2952^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×204490368³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30348 + ... + 36468.

Almost surely, 2^204490368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204490368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304416450).

204490368 is an abundant number, since it is smaller than the sum of its proper divisors (404342532).

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

204490368 is a wasteful number, since it uses less digits than its factorization.

204490368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6170 (or 6155 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 204490368 is about 14300.0128671271. The cubic root of 204490368 is about 589.1478342130.

The spelling of 204490368 in words is "two hundred four million, four hundred ninety thousand, three hundred sixty-eight".