249220 has 24 divisors (see below), whose sum is σ = 554904. Its totient is φ = 93696.

The previous prime is 249217. The next prime is 249229. The reversal of 249220 is 22942.

249220 = T₃₅₁ + T₃₅₂ + ... + T₃₅₄.

It is a happy number.

249220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 125316 + 123904 = 354^2 + 352^2 .

It is a super-2 number, since 2×249220² = 124221216800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (249229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27 + ... + 706.

It is an arithmetic number, because the mean of its divisors is an integer number (23121).

2²⁴⁹²²⁰ is an apocalyptic number.

249220 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 249220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277452).

249220 is an abundant number, since it is smaller than the sum of its proper divisors (305684).

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

249220 is a wasteful number, since it uses less digits than its factorization.

249220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 249220 is about 499.2193906490. The cubic root of 249220 is about 62.9304683453.

The spelling of 249220 in words is "two hundred forty-nine thousand, two hundred twenty".