249528 has 32 divisors (see below), whose sum is σ = 642960. Its totient is φ = 80640.

The previous prime is 249521. The next prime is 249533. The reversal of 249528 is 825942.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 249495 and 249504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249521) by changing a digit.

249528 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 748 + ... + 1028.

2²⁴⁹⁵²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321480).

249528 is an abundant number, since it is smaller than the sum of its proper divisors (393432).

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

249528 is a wasteful number, since it uses less digits than its factorization.

249528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 323 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 249528 is about 499.5277770054. The cubic root of 249528 is about 62.9563820026.

It can be divided in two parts, 249 and 528, that added together give a palindrome (777).

The spelling of 249528 in words is "two hundred forty-nine thousand, five hundred twenty-eight".