258873312 has 96 divisors (see below), whose sum is σ = 720728064. Its totient is φ = 81216000.

The previous prime is 258873311. The next prime is 258873319. The reversal of 258873312 is 213378852.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258873311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108937 + ... + 111287.

It is an arithmetic number, because the mean of its divisors is an integer number (7507584).

Almost surely, 2^258873312 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 258873312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360364032).

258873312 is an abundant number, since it is smaller than the sum of its proper divisors (461854752).

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

258873312 is a wasteful number, since it uses less digits than its factorization.

258873312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 2424 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 258873312 is about 16089.5404533504. The cubic root of 258873312 is about 637.3271602179.

The spelling of 258873312 in words is "two hundred fifty-eight million, eight hundred seventy-three thousand, three hundred twelve".