249948 has 36 divisors (see below), whose sum is σ = 648648. Its totient is φ = 81120.

The previous prime is 249947. The next prime is 249967. The reversal of 249948 is 849942.

It is a happy number.

249948 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 (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

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 249948.

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1843 + ... + 1973.

It is an arithmetic number, because the mean of its divisors is an integer number (18018).

2²⁴⁹⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324324).

249948 is an abundant number, since it is smaller than the sum of its proper divisors (398700).

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

249948 is a wasteful number, since it uses less digits than its factorization.

249948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 189 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 249948 is about 499.9479972957. The cubic root of 249948 is about 62.9916844656.

The spelling of 249948 in words is "two hundred forty-nine thousand, nine hundred forty-eight".