249720 has 32 divisors (see below), whose sum is σ = 749520. Its totient is φ = 66560.

The previous prime is 249703. The next prime is 249721. The reversal of 249720 is 27942.

249720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249721) 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, 921 + ... + 1160.

249720 is a Friedman number, since it can be written as 40*(79^2+2), using all its digits and the basic arithmetic operations.

2²⁴⁹⁷²⁰ is an apocalyptic number.

249720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249720 is an abundant number, since it is smaller than the sum of its proper divisors (499800).

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

249720 is a wasteful number, since it uses less digits than its factorization.

249720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 249720 is about 499.7199215561. The cubic root of 249720 is about 62.9725251828.

It can be divided in two parts, 249 and 720, that added together give a palindrome (969).

The spelling of 249720 in words is "two hundred forty-nine thousand, seven hundred twenty".