249888 has 48 divisors (see below), whose sum is σ = 695520. Its totient is φ = 78336.

The previous prime is 249881. The next prime is 249911. The reversal of 249888 is 888942.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 249888.

It is not an unprimeable number, because it can be changed into a prime (249881) by changing a digit.

249888 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1756 + ... + 1892.

It is an arithmetic number, because the mean of its divisors is an integer number (14490).

2²⁴⁹⁸⁸⁸ 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 249888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347760).

249888 is an abundant number, since it is smaller than the sum of its proper divisors (445632).

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

249888 is a wasteful number, since it uses less digits than its factorization.

249888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 161 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 249888 is about 499.8879874532. The cubic root of 249888 is about 62.9866436790.

The spelling of 249888 in words is "two hundred forty-nine thousand, eight hundred eighty-eight".