249990 has 32 divisors (see below), whose sum is σ = 647136. Its totient is φ = 61440.

The previous prime is 249989. The next prime is 250007. The reversal of 249990 is 99942.

It is a happy number.

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 249990.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70 + ... + 710.

It is an arithmetic number, because the mean of its divisors is an integer number (20223).

2²⁴⁹⁹⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323568).

249990 is an abundant number, since it is smaller than the sum of its proper divisors (397146).

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

249990 is a wasteful number, since it uses less digits than its factorization.

249990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664.

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 249990 is about 499.9899999000. The cubic root of 249990 is about 62.9952125362.

The spelling of 249990 in words is "two hundred forty-nine thousand, nine hundred ninety".