249942 has 32 divisors (see below), whose sum is σ = 624384. Its totient is φ = 64800.

The previous prime is 249923. The next prime is 249943.

249942 is nontrivially palindromic in base 10.

249942 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 2⁹ + 4 + 9⁵ + 9⁵ + 4⁴ + 2¹⁷ .

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 249942.

It is not an unprimeable number, because it can be changed into a prime (249943) by changing a digit.

249942 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 15 ways as a sum of consecutive naturals, for example, 192 + ... + 732.

It is an arithmetic number, because the mean of its divisors is an integer number (19512).

2²⁴⁹⁹⁴² is an apocalyptic number.

249942 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 249942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312192).

249942 is an abundant number, since it is smaller than the sum of its proper divisors (374442).

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

249942 is a wasteful number, since it uses less digits than its factorization.

249942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564.

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

The square root of 249942 is about 499.9419966356. The cubic root of 249942 is about 62.9911804232.

The spelling of 249942 in words is "two hundred forty-nine thousand, nine hundred forty-two".