240384 has 36 divisors (see below), whose sum is σ = 641816. Its totient is φ = 79872.

The previous prime is 240379. The next prime is 240421. The reversal of 240384 is 483042.

It is a happy number.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 240384.

It is an unprimeable number.

240384 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 612 + ... + 924.

2²⁴⁰³⁸⁴ is an apocalyptic number.

240384 is a gapful number since it is divisible by the number (24) 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 240384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320908).

240384 is an abundant number, since it is smaller than the sum of its proper divisors (401432).

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

240384 is an equidigital number, since it uses as much as digits as its factorization.

240384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 240384 is about 490.2897102734. The cubic root of 240384 is about 62.1777762715.

240384 divided by its product of nonzero digits (768) gives a palindrome (313).

It can be divided in two parts, 24038 and 4, that added together give a palindrome (24042).

The spelling of 240384 in words is "two hundred forty thousand, three hundred eighty-four".