249920 has 56 divisors (see below), whose sum is σ = 658368. Its totient is φ = 89600.

The previous prime is 249911. The next prime is 249923. The reversal of 249920 is 29942.

249920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 249920.

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

249920 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 7 ways as a sum of consecutive naturals, for example, 3485 + ... + 3555.

2²⁴⁹⁹²⁰ is an apocalyptic number.

249920 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 249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329184).

249920 is an abundant number, since it is smaller than the sum of its proper divisors (408448).

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

249920 is a wasteful number, since it uses less digits than its factorization.

249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 249920 is about 499.9199935990. The cubic root of 249920 is about 62.9893321989.

The spelling of 249920 in words is "two hundred forty-nine thousand, nine hundred twenty".