249546 has 32 divisors (see below), whose sum is σ = 576000. Its totient is φ = 71280.

The previous prime is 249541. The next prime is 249563. The reversal of 249546 is 645942.

It is a super-2 number, since 2×249546² = 124546412232, which contains 22 as substring.

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 249546.

It is not an unprimeable number, because it can be changed into a prime (249541) by changing a digit.

249546 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1155 + ... + 1353.

It is an arithmetic number, because the mean of its divisors is an integer number (18000).

2²⁴⁹⁵⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288000).

249546 is an abundant number, since it is smaller than the sum of its proper divisors (326454).

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

249546 is a wasteful number, since it uses less digits than its factorization.

249546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234.

The product of its digits is 8640, while the sum is 30.

The square root of 249546 is about 499.5457936966. The cubic root of 249546 is about 62.9578957774.

The spelling of 249546 in words is "two hundred forty-nine thousand, five hundred forty-six".