204382080 has 384 divisors, whose sum is σ = 834425280. Its totient is φ = 45121536.

The previous prime is 204382063. The next prime is 204382097. The reversal of 204382080 is 80283402.

204382080 is a `hidden beast` number, since 20 + 438 + 208 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (204382063) and next prime (204382097).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1491772 + ... + 1491908.

Almost surely, 2^204382080 is an apocalyptic number.

204382080 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 204382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417212640).

204382080 is an abundant number, since it is smaller than the sum of its proper divisors (630043200).

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

204382080 is a wasteful number, since it uses less digits than its factorization.

204382080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 204382080 is about 14296.2260754368. The cubic root of 204382080 is about 589.0438213183.

The spelling of 204382080 in words is "two hundred four million, three hundred eighty-two thousand, eighty".