249024 has 28 divisors (see below), whose sum is σ = 659384. Its totient is φ = 82944.

The previous prime is 249017. The next prime is 249037. The reversal of 249024 is 420942.

It is a zygodrome in base 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 249024.

It is an unprimeable number.

249024 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 3 ways as a sum of consecutive naturals, for example, 457 + ... + 840.

2²⁴⁹⁰²⁴ is an apocalyptic number.

249024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

249024 is an abundant number, since it is smaller than the sum of its proper divisors (410360).

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

249024 is a wasteful number, since it uses less digits than its factorization.

249024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 249024 is about 499.0230455600. The cubic root of 249024 is about 62.9139667180.

Adding to 249024 its reverse (420942), we get a palindrome (669966).

The spelling of 249024 in words is "two hundred forty-nine thousand, twenty-four".