250880 has 66 divisors (see below), whose sum is σ = 700074. Its totient is φ = 86016.

The previous prime is 250871. The next prime is 250889. The reversal of 250880 is 88052.

250880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (250871) and next prime (250889).

It can be written as a sum of positive squares in only one way, i.e., 200704 + 50176 = 448^2 + 224^2 .

It is a nialpdrome in base 4 and base 8.

It is a zygodrome in base 4.

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 250880.

It is not an unprimeable number, because it can be changed into a prime (250889) by changing a digit.

250880 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 5 ways as a sum of consecutive naturals, for example, 35837 + ... + 35843.

2²⁵⁰⁸⁸⁰ is an apocalyptic number.

250880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 250880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350037).

250880 is an abundant number, since it is smaller than the sum of its proper divisors (449194).

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

250880 is an equidigital number, since it uses as much as digits as its factorization.

250880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 250880 is about 500.8792269600. The cubic root of 250880 is about 63.0698813048.

The spelling of 250880 in words is "two hundred fifty thousand, eight hundred eighty".