249912 has 64 divisors (see below), whose sum is σ = 756000. Its totient is φ = 76032.

The previous prime is 249911. The next prime is 249923. The reversal of 249912 is 219942.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 249912.

It is not an unprimeable number, because it can be changed into a prime (249911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2764 + ... + 2852.

2²⁴⁹⁹¹² 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 249912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378000).

249912 is an abundant number, since it is smaller than the sum of its proper divisors (506088).

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

249912 is a wasteful number, since it uses less digits than its factorization.

249912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 107 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 249912 is about 499.9119922546. The cubic root of 249912 is about 62.9886600905.

The spelling of 249912 in words is "two hundred forty-nine thousand, nine hundred twelve".