249830 has 32 divisors (see below), whose sum is σ = 532224. Its totient is φ = 82656.

The previous prime is 249827. The next prime is 249833. The reversal of 249830 is 38942.

It is an interprime number because it is at equal distance from previous prime (249827) and next prime (249833).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 249830.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2969 + ... + 3051.

It is an arithmetic number, because the mean of its divisors is an integer number (16632).

2²⁴⁹⁸³⁰ is an apocalyptic number.

249830 is an abundant number, since it is smaller than the sum of its proper divisors (282394).

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

249830 is a wasteful number, since it uses less digits than its factorization.

249830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140.

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 249830 is about 499.8299710902. The cubic root of 249830 is about 62.9817701517.

The spelling of 249830 in words is "two hundred forty-nine thousand, eight hundred thirty".