204048 has 60 divisors (see below), whose sum is σ = 620620. Its totient is φ = 62208.

The previous prime is 204047. The next prime is 204059. The reversal of 204048 is 840402.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 82944 + 121104 = 288^2 + 348^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 204048.

It is not an unprimeable number, because it can be changed into a prime (204047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1818 + ... + 1926.

2²⁰⁴⁰⁴⁸ 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 204048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310310).

204048 is an abundant number, since it is smaller than the sum of its proper divisors (416572).

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

204048 is a wasteful number, since it uses less digits than its factorization.

204048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 204048 is about 451.7167253932. The cubic root of 204048 is about 58.8722698776.

Adding to 204048 its product of nonzero digits (256), we get a square (204304 = 452²).

The spelling of 204048 in words is "two hundred four thousand, forty-eight".