249516 has 36 divisors (see below), whose sum is σ = 655200. Its totient is φ = 79968.

The previous prime is 249503. The next prime is 249517. The reversal of 249516 is 615942.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 249516.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 249516.

It is not an unprimeable number, because it can be changed into a prime (249517) by changing a digit.

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, 925 + ... + 1163.

It is an arithmetic number, because the mean of its divisors is an integer number (18200).

2²⁴⁹⁵¹⁶ 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 249516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327600).

249516 is an abundant number, since it is smaller than the sum of its proper divisors (405684).

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

249516 is a wasteful number, since it uses less digits than its factorization.

249516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 273 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 249516 is about 499.5157655170. The cubic root of 249516 is about 62.9553727789.

The spelling of 249516 in words is "two hundred forty-nine thousand, five hundred sixteen".