249960 has 32 divisors (see below), whose sum is σ = 750240. Its totient is φ = 66624.

The previous prime is 249947. The next prime is 249967. The reversal of 249960 is 69942.

249960 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 (30).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 249960.

It is not an unprimeable number, because it can be changed into a prime (249967) by changing a digit.

249960 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, 922 + ... + 1161.

It is an arithmetic number, because the mean of its divisors is an integer number (23445).

2²⁴⁹⁹⁶⁰ is an apocalyptic number.

249960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249960 is an abundant number, since it is smaller than the sum of its proper divisors (500280).

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

249960 is a wasteful number, since it uses less digits than its factorization.

249960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 249960 is about 499.9599983999. The cubic root of 249960 is about 62.9926925261.

The spelling of 249960 in words is "two hundred forty-nine thousand, nine hundred sixty".