258221856 has 72 divisors (see below), whose sum is σ = 715481424. Its totient is φ = 81532800.

The previous prime is 258221833. The next prime is 258221867. The reversal of 258221856 is 658122852.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30931 + ... + 38381.

It is an arithmetic number, because the mean of its divisors is an integer number (9937242).

Almost surely, 2^258221856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258221856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357740712).

258221856 is an abundant number, since it is smaller than the sum of its proper divisors (457259568).

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

258221856 is a wasteful number, since it uses less digits than its factorization.

258221856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7502 (or 7475 counting only the distinct ones).

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

The square root of 258221856 is about 16069.2829958278. The cubic root of 258221856 is about 636.7920987968.

The spelling of 258221856 in words is "two hundred fifty-eight million, two hundred twenty-one thousand, eight hundred fifty-six".