243808 has 24 divisors (see below), whose sum is σ = 506520. Its totient is φ = 115200.

The previous prime is 243799. The next prime is 243809. The reversal of 243808 is 808342.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243809) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 408 + ... + 808.

It is an arithmetic number, because the mean of its divisors is an integer number (21105).

2²⁴³⁸⁰⁸ 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 243808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253260).

243808 is an abundant number, since it is smaller than the sum of its proper divisors (262712).

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

243808 is a wasteful number, since it uses less digits than its factorization.

243808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 243808 is about 493.7691768428. The cubic root of 243808 is about 62.4716030998.

It can be divided in two parts, 2 and 43808, that multiplied together give a square (87616 = 296²).

The spelling of 243808 in words is "two hundred forty-three thousand, eight hundred eight".