249928 has 16 divisors (see below), whose sum is σ = 535680. Its totient is φ = 107088.

The previous prime is 249923. The next prime is 249943. The reversal of 249928 is 829942.

It is a junction number, because it is equal to n+sod(n) for n = 249893 and 249902.

It is not an unprimeable number, because it can be changed into a prime (249923) by changing a digit.

249928 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2176 + ... + 2287.

It is an arithmetic number, because the mean of its divisors is an integer number (33480).

2²⁴⁹⁹²⁸ is an apocalyptic number.

249928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

249928 is an abundant number, since it is smaller than the sum of its proper divisors (285752).

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

249928 is a wasteful number, since it uses less digits than its factorization.

249928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4476 (or 4472 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The square root of 249928 is about 499.9279948153. The cubic root of 249928 is about 62.9900042930.

It can be divided in two parts, 2 and 49928, that multiplied together give a square (99856 = 316²).

The spelling of 249928 in words is "two hundred forty-nine thousand, nine hundred twenty-eight".