249120 has 72 divisors (see below), whose sum is σ = 855036. Its totient is φ = 66048.

The previous prime is 249107. The next prime is 249127. The reversal of 249120 is 21942.

249120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 242064 + 7056 = 492^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 249093 and 249102.

It is not an unprimeable number, because it can be changed into a prime (249127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1354 + ... + 1526.

2²⁴⁹¹²⁰ is an apocalyptic number.

249120 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 249120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427518).

249120 is an abundant number, since it is smaller than the sum of its proper divisors (605916).

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

249120 is a wasteful number, since it uses less digits than its factorization.

249120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 249120 is about 499.1192242341. The cubic root of 249120 is about 62.9220502291.

The spelling of 249120 in words is "two hundred forty-nine thousand, one hundred twenty".