249468 has 12 divisors (see below), whose sum is σ = 582120. Its totient is φ = 83152.

The previous prime is 249463. The next prime is 249497. The reversal of 249468 is 864942.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

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 249468.

It is not an unprimeable number, because it can be changed into a prime (249463) by changing a digit.

249468 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 3 ways as a sum of consecutive naturals, for example, 10383 + ... + 10406.

It is an arithmetic number, because the mean of its divisors is an integer number (48510).

2²⁴⁹⁴⁶⁸ is an apocalyptic number.

It is an amenable number.

249468 is an abundant number, since it is smaller than the sum of its proper divisors (332652).

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

249468 is a wasteful number, since it uses less digits than its factorization.

249468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20796 (or 20794 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 249468 is about 499.4677166745. The cubic root of 249468 is about 62.9513355606.

It can be divided in two parts, 249 and 468, that added together give a palindrome (717).

The spelling of 249468 in words is "two hundred forty-nine thousand, four hundred sixty-eight".