249340 has 48 divisors (see below), whose sum is σ = 649152. Its totient is φ = 78336.

The previous prime is 249329. The next prime is 249341. The reversal of 249340 is 43942.

249340 is nontrivially palindromic in base 9.

It is a d-powerful number, because it can be written as 2⁵ + 4³ + 3¹¹ + 9⁴ + 4⁸ + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1752 + ... + 1888.

It is an arithmetic number, because the mean of its divisors is an integer number (13524).

2²⁴⁹³⁴⁰ is an apocalyptic number.

249340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324576).

249340 is an abundant number, since it is smaller than the sum of its proper divisors (399812).

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

249340 is a wasteful number, since it uses less digits than its factorization.

249340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 249340 is about 499.3395638241. The cubic root of 249340 is about 62.9405671127.

The spelling of 249340 in words is "two hundred forty-nine thousand, three hundred forty".