258902112 has 192 divisors, whose sum is σ = 833462784. Its totient is φ = 68689920.

The previous prime is 258902051. The next prime is 258902159. The reversal of 258902112 is 211209852.

It is a self number, because there is not a number n which added to its sum of digits gives 258902112.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1496458 + ... + 1496630.

It is an arithmetic number, because the mean of its divisors is an integer number (4340952).

Almost surely, 2^258902112 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 258902112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416731392).

258902112 is an abundant number, since it is smaller than the sum of its proper divisors (574560672).

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

258902112 is a wasteful number, since it uses less digits than its factorization.

258902112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 258902112 is about 16090.4354198387. The cubic root of 258902112 is about 637.3507938394.

The spelling of 258902112 in words is "two hundred fifty-eight million, nine hundred two thousand, one hundred twelve".