249820 has 12 divisors (see below), whose sum is σ = 524664. Its totient is φ = 99920.

The previous prime is 249811. The next prime is 249827. The reversal of 249820 is 28942.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249827) by changing a digit.

249820 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 6226 + ... + 6265.

It is an arithmetic number, because the mean of its divisors is an integer number (43722).

2²⁴⁹⁸²⁰ is an apocalyptic number.

249820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249820 is an abundant number, since it is smaller than the sum of its proper divisors (274844).

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

249820 is a wasteful number, since it uses less digits than its factorization.

249820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12500 (or 12498 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 249820 is about 499.8199675883. The cubic root of 249820 is about 62.9809298121.

The spelling of 249820 in words is "two hundred forty-nine thousand, eight hundred twenty".