249880 has 16 divisors (see below), whose sum is σ = 562320. Its totient is φ = 99936.

The previous prime is 249871. The next prime is 249881. The reversal of 249880 is 88942.

249880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249881) 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 3 ways as a sum of consecutive naturals, for example, 3084 + ... + 3163.

It is an arithmetic number, because the mean of its divisors is an integer number (35145).

2²⁴⁹⁸⁸⁰ is an apocalyptic number.

249880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249880 is an abundant number, since it is smaller than the sum of its proper divisors (312440).

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

249880 is a wasteful number, since it uses less digits than its factorization.

249880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6258 (or 6254 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 249880 is about 499.8799855965. The cubic root of 249880 is about 62.9859715132.

The spelling of 249880 in words is "two hundred forty-nine thousand, eight hundred eighty".