258541168 has 20 divisors (see below), whose sum is σ = 530390160. Its totient is φ = 121666304.

The previous prime is 258541111. The next prime is 258541169. The reversal of 258541168 is 861145852.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 258541168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258541169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 474988 + ... + 475531.

It is an arithmetic number, because the mean of its divisors is an integer number (26519508).

Almost surely, 2^258541168 is an apocalyptic number.

It is an amenable number.

258541168 is an abundant number, since it is smaller than the sum of its proper divisors (271848992).

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

258541168 is a wasteful number, since it uses less digits than its factorization.

258541168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950544 (or 950538 counting only the distinct ones).

The product of its digits is 76800, while the sum is 40.

The square root of 258541168 is about 16079.2154037441. The cubic root of 258541168 is about 637.0544721500.

The spelling of 258541168 in words is "two hundred fifty-eight million, five hundred forty-one thousand, one hundred sixty-eight".