259471080 has 128 divisors (see below), whose sum is σ = 943574400. Its totient is φ = 62899200.

The previous prime is 259471039. The next prime is 259471099. The reversal of 259471080 is 80174952.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 960 + ... + 22800.

It is an arithmetic number, because the mean of its divisors is an integer number (7371675).

Almost surely, 2^259471080 is an apocalyptic number.

259471080 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 259471080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471787200).

259471080 is an abundant number, since it is smaller than the sum of its proper divisors (684103320).

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

259471080 is a wasteful number, since it uses less digits than its factorization.

259471080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21872 (or 21862 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 259471080 is about 16108.1060339197. The cubic root of 259471080 is about 637.8173368185.

The spelling of 259471080 in words is "two hundred fifty-nine million, four hundred seventy-one thousand, eighty".