258888852 has 144 divisors (see below), whose sum is σ = 737493120. Its totient is φ = 78257664.

The previous prime is 258888827. The next prime is 258888857.

258888852 is a `hidden beast` number, since 2 + 588 + 8 + 8 + 8 + 52 = 666.

258888852 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258888857) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2513433 + ... + 2513535.

It is an arithmetic number, because the mean of its divisors is an integer number (5121480).

Almost surely, 2^258888852 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 258888852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368746560).

258888852 is an abundant number, since it is smaller than the sum of its proper divisors (478604268).

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

258888852 is a wasteful number, since it uses less digits than its factorization.

258888852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 162 counting only the distinct ones).

The product of its digits is 3276800, while the sum is 54.

The square root of 258888852 is about 16090.0233685349. The cubic root of 258888852 is about 637.3399127439.

The spelling of 258888852 in words is "two hundred fifty-eight million, eight hundred eighty-eight thousand, eight hundred fifty-two".