251940 has 96 divisors (see below), whose sum is σ = 846720. Its totient is φ = 55296.

The previous prime is 251939. The next prime is 251941. The reversal of 251940 is 49152.

It is an interprime number because it is at equal distance from previous prime (251939) and next prime (251941).

It is an Ulam number.

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (251941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13251 + ... + 13269.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2²⁵¹⁹⁴⁰ is an apocalyptic number.

251940 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 251940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360).

251940 is an abundant number, since it is smaller than the sum of its proper divisors (594780).

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

251940 is a wasteful number, since it uses less digits than its factorization.

251940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 251940 is about 501.9362509323. The cubic root of 251940 is about 63.1585825948.

The spelling of 251940 in words is "two hundred fifty-one thousand, nine hundred forty".