249390 has 48 divisors (see below), whose sum is σ = 690768. Its totient is φ = 62208.

The previous prime is 249383. The next prime is 249397. The reversal of 249390 is 93942.

It is an interprime number because it is at equal distance from previous prime (249383) and next prime (249397).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249397) by changing a digit.

249390 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 23 ways as a sum of consecutive naturals, for example, 1449 + ... + 1611.

It is an arithmetic number, because the mean of its divisors is an integer number (14391).

2²⁴⁹³⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345384).

249390 is an abundant number, since it is smaller than the sum of its proper divisors (441378).

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

249390 is a wasteful number, since it uses less digits than its factorization.

249390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 249390 is about 499.3896274453. The cubic root of 249390 is about 62.9447739762.

The spelling of 249390 in words is "two hundred forty-nine thousand, three hundred ninety".