204240 has 80 divisors (see below), whose sum is σ = 678528. Its totient is φ = 50688.

The previous prime is 204233. The next prime is 204251. The reversal of 204240 is 42402.

204240 = 83² + 84² + ... + 105².

204240 is nontrivially palindromic in base 9.

204240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

204240 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5502 + ... + 5538.

2²⁰⁴²⁴⁰ is an apocalyptic number.

204240 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 204240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339264).

204240 is an abundant number, since it is smaller than the sum of its proper divisors (474288).

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

204240 is a wasteful number, since it uses less digits than its factorization.

204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 204240 is about 451.9291979946. The cubic root of 204240 is about 58.8907294758.

204240 divided by its sum of digits (12) gives a triangular number (17020 = T₁₈₄).

Adding to 204240 its product of nonzero digits (64), we get a square (204304 = 452²).

Adding to 204240 its reverse (42402), we get a palindrome (246642).

It can be divided in two parts, 204 and 240, that added together give a palindrome (444).

The spelling of 204240 in words is "two hundred four thousand, two hundred forty", and thus it is an iban number.