258530880 has 112 divisors (see below), whose sum is σ = 832616064. Its totient is φ = 67952640.

The previous prime is 258530869. The next prime is 258530893. The reversal of 258530880 is 88035852.

258530880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×258530880³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66264 + ... + 70056.

It is an arithmetic number, because the mean of its divisors is an integer number (7434072).

Almost surely, 2^258530880 is an apocalyptic number.

258530880 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 258530880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416308032).

258530880 is an abundant number, since it is smaller than the sum of its proper divisors (574085184).

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

258530880 is a wasteful number, since it uses less digits than its factorization.

258530880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3884 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 258530880 is about 16078.8954844541. The cubic root of 258530880 is about 637.0460220407.

The spelling of 258530880 in words is "two hundred fifty-eight million, five hundred thirty thousand, eight hundred eighty".