249492 has 24 divisors (see below), whose sum is σ = 616896. Its totient is φ = 78208.

The previous prime is 249463. The next prime is 249497. The reversal of 249492 is 294942.

It is a d-powerful number, because it can be written as 2 + 4³ + 4⁴ + 9⁵ + 9⁵ + 2¹⁷ .

It is a plaindrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249497) by changing a digit.

249492 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, 408 + ... + 815.

It is an arithmetic number, because the mean of its divisors is an integer number (25704).

2²⁴⁹⁴⁹² is an apocalyptic number.

249492 is the 408-th pentagonal number.

It is an amenable number.

249492 is an abundant number, since it is smaller than the sum of its proper divisors (367404).

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

249492 is a wasteful number, since it uses less digits than its factorization.

249492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1245 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 249492 is about 499.4917416735. The cubic root of 249492 is about 62.9533542345.

It can be divided in two parts, 249 and 492, that added together give a triangular number (741 = T₃₈).

The spelling of 249492 in words is "two hundred forty-nine thousand, four hundred ninety-two".