258560 has 40 divisors (see below), whose sum is σ = 626076. Its totient is φ = 102400.

The previous prime is 258551. The next prime is 258563. The reversal of 258560 is 65852.

It can be written as a sum of positive squares in 2 ways, for example, as 246016 + 12544 = 496^2 + 112^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (258563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2510 + ... + 2610.

258560 is a Friedman number, since it can be written as 505*8*2^6, using all its digits and the basic arithmetic operations.

2²⁵⁸⁵⁶⁰ is an apocalyptic number.

258560 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 258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313038).

258560 is an abundant number, since it is smaller than the sum of its proper divisors (367516).

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

258560 is an equidigital number, since it uses as much as digits as its factorization.

258560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 258560 is about 508.4879546263. The cubic root of 258560 is about 63.7069939343.

It can be divided in two parts, 258 and 560, that added together give a palindrome (818).

The spelling of 258560 in words is "two hundred fifty-eight thousand, five hundred sixty".