241824 has 48 divisors (see below), whose sum is σ = 695520. Its totient is φ = 72960.

The previous prime is 241823. The next prime is 241847. The reversal of 241824 is 428142.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 241824.

It is not an unprimeable number, because it can be changed into a prime (241823) 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 7 ways as a sum of consecutive naturals, for example, 942 + ... + 1170.

It is an arithmetic number, because the mean of its divisors is an integer number (14490).

2²⁴¹⁸²⁴ is an apocalyptic number.

241824 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 241824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347760).

241824 is an abundant number, since it is smaller than the sum of its proper divisors (453696).

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

241824 is a wasteful number, since it uses less digits than its factorization.

241824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 245 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 241824 is about 491.7560370753. The cubic root of 241824 is about 62.3016860776.

Adding to 241824 its reverse (428142), we get a palindrome (669966).

It can be divided in two parts, 2418 and 24, that added together give a palindrome (2442).

The spelling of 241824 in words is "two hundred forty-one thousand, eight hundred twenty-four".