249924 has 24 divisors (see below), whose sum is σ = 594720. Its totient is φ = 81664.

The previous prime is 249923. The next prime is 249943. The reversal of 249924 is 429942.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 249891 and 249900.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 249924.

It is not an unprimeable number, because it can be changed into a prime (249923) 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, 532 + ... + 884.

It is an arithmetic number, because the mean of its divisors is an integer number (24780).

2²⁴⁹⁹²⁴ is an apocalyptic number.

It is an amenable number.

249924 is an abundant number, since it is smaller than the sum of its proper divisors (344796).

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

249924 is a wasteful number, since it uses less digits than its factorization.

249924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 417 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 249924 is about 499.9239942231. The cubic root of 249924 is about 62.9896682478.

The spelling of 249924 in words is "two hundred forty-nine thousand, nine hundred twenty-four".