249288 has 64 divisors (see below), whose sum is σ = 725760. Its totient is φ = 70656.

The previous prime is 249287. The next prime is 249311. The reversal of 249288 is 882942.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 249288.

It is not an unprimeable number, because it can be changed into a prime (249287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5281 + ... + 5327.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2²⁴⁹²⁸⁸ 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 249288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880).

249288 is an abundant number, since it is smaller than the sum of its proper divisors (476472).

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

249288 is a wasteful number, since it uses less digits than its factorization.

249288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 82 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 249288 is about 499.2874923328. The cubic root of 249288 is about 62.9361913781.

The spelling of 249288 in words is "two hundred forty-nine thousand, two hundred eighty-eight".