249228 has 72 divisors (see below), whose sum is σ = 768768. Its totient is φ = 66528.

The previous prime is 249217. The next prime is 249229. The reversal of 249228 is 822942.

249228 is nontrivially palindromic in base 5.

It is a super-2 number, since 2×249228² = 124229191968, which contains 22 as substring.

It is a congruent number.

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

249228 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5775 + ... + 5817.

2²⁴⁹²²⁸ is an apocalyptic number.

249228 is a gapful number since it is divisible by the number (28) 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 249228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384384).

249228 is an abundant number, since it is smaller than the sum of its proper divisors (519540).

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

249228 is a wasteful number, since it uses less digits than its factorization.

249228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 78 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 249228 is about 499.2274030940. The cubic root of 249228 is about 62.9311416973.

The spelling of 249228 in words is "two hundred forty-nine thousand, two hundred twenty-eight".