249088 has 36 divisors (see below), whose sum is σ = 572320. Its totient is φ = 105984.

The previous prime is 249079. The next prime is 249089. The reversal of 249088 is 880942.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249089) 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, 1723 + ... + 1861.

2²⁴⁹⁰⁸⁸ is an apocalyptic number.

249088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286160).

249088 is an abundant number, since it is smaller than the sum of its proper divisors (323232).

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

249088 is an equidigital number, since it uses as much as digits as its factorization.

249088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 148 counting only the distinct ones).

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

The square root of 249088 is about 499.0871667354. The cubic root of 249088 is about 62.9193559562.

The spelling of 249088 in words is "two hundred forty-nine thousand, eighty-eight".