251980 has 24 divisors (see below), whose sum is σ = 543312. Its totient is φ = 98112.

The previous prime is 251971. The next prime is 251983. The reversal of 251980 is 89152.

251980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (251983) 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, 714 + ... + 1006.

It is an arithmetic number, because the mean of its divisors is an integer number (22638).

2²⁵¹⁹⁸⁰ is an apocalyptic number.

251980 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 251980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271656).

251980 is an abundant number, since it is smaller than the sum of its proper divisors (291332).

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

251980 is a wasteful number, since it uses less digits than its factorization.

251980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 251980 is about 501.9760950484. The cubic root of 251980 is about 63.1619249378.

The spelling of 251980 in words is "two hundred fifty-one thousand, nine hundred eighty".