249952 has 24 divisors (see below), whose sum is σ = 503496. Its totient is φ = 122112.

The previous prime is 249947. The next prime is 249967. The reversal of 249952 is 259942.

It is a congruent number.

It is an unprimeable number.

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, 2283 + ... + 2389.

It is an arithmetic number, because the mean of its divisors is an integer number (20979).

2²⁴⁹⁹⁵² is an apocalyptic number.

It is an amenable number.

249952 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

249952 is a wasteful number, since it uses less digits than its factorization.

249952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 182 counting only the distinct ones).

The product of its digits is 6480, while the sum is 31.

The square root of 249952 is about 499.9519976958. The cubic root of 249952 is about 62.9920204893.

The spelling of 249952 in words is "two hundred forty-nine thousand, nine hundred fifty-two".