249508 has 36 divisors (see below), whose sum is σ = 542640. Its totient is φ = 99792.

The previous prime is 249503. The next prime is 249517. The reversal of 249508 is 805942.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (249503) by changing a digit.

249508 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 11 ways as a sum of consecutive naturals, for example, 3691 + ... + 3757.

2²⁴⁹⁵⁰⁸ is an apocalyptic number.

249508 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 249508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271320).

249508 is an abundant number, since it is smaller than the sum of its proper divisors (293132).

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

249508 is a wasteful number, since it uses less digits than its factorization.

249508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 249508 is about 499.5077576975. The cubic root of 249508 is about 62.9546999452.

249508 divided by its sum of digits (28) gives a triangular number (8911 = T₁₃₃).

It can be divided in two parts, 249 and 508, that added together give a palindrome (757).

The spelling of 249508 in words is "two hundred forty-nine thousand, five hundred eight".