249320 has 32 divisors (see below), whose sum is σ = 587520. Its totient is φ = 95040.

The previous prime is 249317. The next prime is 249329. The reversal of 249320 is 23942.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 249292 and 249301.

It is not an unprimeable number, because it can be changed into a prime (249329) 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 7 ways as a sum of consecutive naturals, for example, 785 + ... + 1055.

It is an arithmetic number, because the mean of its divisors is an integer number (18360).

2²⁴⁹³²⁰ is an apocalyptic number.

249320 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 249320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293760).

249320 is an abundant number, since it is smaller than the sum of its proper divisors (338200).

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

249320 is a wasteful number, since it uses less digits than its factorization.

249320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 249320 is about 499.3195369701. The cubic root of 249320 is about 62.9388842099.

The spelling of 249320 in words is "two hundred forty-nine thousand, three hundred twenty".