249090 has 48 divisors (see below), whose sum is σ = 658368. Its totient is φ = 60192.

The previous prime is 249089. The next prime is 249097. The reversal of 249090 is 90942.

249090 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 249090.

It is not an unprimeable number, because it can be changed into a prime (249097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10819 + ... + 10841.

It is an arithmetic number, because the mean of its divisors is an integer number (13716).

2²⁴⁹⁰⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329184).

249090 is an abundant number, since it is smaller than the sum of its proper divisors (409278).

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

249090 is a wasteful number, since it uses less digits than its factorization.

249090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 249090 is about 499.0891703894. The cubic root of 249090 is about 62.9195243550.

The spelling of 249090 in words is "two hundred forty-nine thousand, ninety".