249040 has 40 divisors (see below), whose sum is σ = 633888. Its totient is φ = 90240.

The previous prime is 249037. The next prime is 249059. The reversal of 249040 is 40942.

249040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 248999 and 249017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 739 + ... + 1021.

2²⁴⁹⁰⁴⁰ is an apocalyptic number.

249040 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 249040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316944).

249040 is an abundant number, since it is smaller than the sum of its proper divisors (384848).

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

249040 is a wasteful number, since it uses less digits than its factorization.

249040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 249040 is about 499.0390766263. The cubic root of 249040 is about 62.9153141141.

Adding to 249040 its reverse (40942), we get a palindrome (289982).

The spelling of 249040 in words is "two hundred forty-nine thousand, forty".