251880 has 32 divisors (see below), whose sum is σ = 756000. Its totient is φ = 67136.

The previous prime is 251879. The next prime is 251887. The reversal of 251880 is 88152.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 251880.

It is not an unprimeable number, because it can be changed into a prime (251887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 930 + ... + 1169.

It is an arithmetic number, because the mean of its divisors is an integer number (23625).

2²⁵¹⁸⁸⁰ is an apocalyptic number.

251880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

251880 is an abundant number, since it is smaller than the sum of its proper divisors (504120).

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

251880 is a wasteful number, since it uses less digits than its factorization.

251880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2113 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 251880 is about 501.8764788272. The cubic root of 251880 is about 63.1535684171.

The spelling of 251880 in words is "two hundred fifty-one thousand, eight hundred eighty".