249260 has 36 divisors (see below), whose sum is σ = 580944. Its totient is φ = 89760.

The previous prime is 249257. The next prime is 249287. The reversal of 249260 is 62942.

249260 = 173² + 174² + ... + 180².

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2369 + ... + 2471.

2²⁴⁹²⁶⁰ is an apocalyptic number.

249260 is a gapful number since it is divisible by the number (20) 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 249260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290472).

249260 is an abundant number, since it is smaller than the sum of its proper divisors (331684).

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

249260 is a wasteful number, since it uses less digits than its factorization.

249260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 249260 is about 499.2594515880. The cubic root of 249260 is about 62.9338349612.

It can be divided in two parts, 2492 and 60, that added together give a palindrome (2552).

The spelling of 249260 in words is "two hundred forty-nine thousand, two hundred sixty".