249424 has 40 divisors (see below), whose sum is σ = 589248. Its totient is φ = 99840.

The previous prime is 249421. The next prime is 249427. The reversal of 249424 is 424942.

249424 = T₇₇ + T₇₈ + ... + T₁₂₄.

249424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (249421) and next prime (249427).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1839 + ... + 1969.

2²⁴⁹⁴²⁴ 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 249424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294624).

249424 is an abundant number, since it is smaller than the sum of its proper divisors (339824).

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

249424 is a wasteful number, since it uses less digits than its factorization.

249424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 157 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 249424 is about 499.4236678412. The cubic root of 249424 is about 62.9476343222.

The spelling of 249424 in words is "two hundred forty-nine thousand, four hundred twenty-four".