249824 has 24 divisors (see below), whose sum is σ = 507528. Its totient is φ = 120960.

The previous prime is 249811. The next prime is 249827. The reversal of 249824 is 428942.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 249824.

It is not an unprimeable number, because it can be changed into a prime (249827) by changing a digit.

249824 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 (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1079 + ... + 1289.

It is an arithmetic number, because the mean of its divisors is an integer number (21147).

2²⁴⁹⁸²⁴ 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 249824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253764).

249824 is an abundant number, since it is smaller than the sum of its proper divisors (257704).

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

249824 is a wasteful number, since it uses less digits than its factorization.

249824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 250 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 249824 is about 499.8239690131. The cubic root of 249824 is about 62.9812659506.

The spelling of 249824 in words is "two hundred forty-nine thousand, eight hundred twenty-four".