259971140 has 96 divisors (see below), whose sum is σ = 679238784. Its totient is φ = 82114560.

The previous prime is 259971137. The next prime is 259971149. The reversal of 259971140 is 41179952.

It is a junction number, because it is equal to n+sod(n) for n = 259971094 and 259971103.

It is not an unprimeable number, because it can be changed into a prime (259971149) 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, 45947 + ... + 51293.

It is an arithmetic number, because the mean of its divisors is an integer number (7075404).

Almost surely, 2^259971140 is an apocalyptic number.

259971140 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 259971140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339619392).

259971140 is an abundant number, since it is smaller than the sum of its proper divisors (419267644).

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

259971140 is a wasteful number, since it uses less digits than its factorization.

259971140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5397 (or 5395 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 38.

The square root of 259971140 is about 16123.6205611519. The cubic root of 259971140 is about 638.2268137463.

The spelling of 259971140 in words is "two hundred fifty-nine million, nine hundred seventy-one thousand, one hundred forty".