204000288 has 48 divisors (see below), whose sum is σ = 544592160. Its totient is φ = 66845696.

The previous prime is 204000281. The next prime is 204000301. The reversal of 204000288 is 882000402.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×204000288² = 83232235008165888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (204000281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12345 + ... + 23672.

It is an arithmetic number, because the mean of its divisors is an integer number (11345670).

Almost surely, 2^204000288 is an apocalyptic number.

It is an amenable number.

204000288 is an abundant number, since it is smaller than the sum of its proper divisors (340591872).

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

204000288 is a wasteful number, since it uses less digits than its factorization.

204000288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36089 (or 36081 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 204000288 is about 14282.8669390987. The cubic root of 204000288 is about 588.6768087125.

The spelling of 204000288 in words is "two hundred four million, two hundred eighty-eight", and thus it is an aban number.