258494112 has 96 divisors (see below), whose sum is σ = 798336000. Its totient is φ = 81091584.

The previous prime is 258494111. The next prime is 258494189. The reversal of 258494112 is 211494852.

258494112 is a `hidden beast` number, since 2 + 58 + 494 + 112 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (258494111) 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 15 ways as a sum of consecutive naturals, for example, 5889 + ... + 23487.

It is an arithmetic number, because the mean of its divisors is an integer number (8316000).

Almost surely, 2^258494112 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 258494112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399168000).

258494112 is an abundant number, since it is smaller than the sum of its proper divisors (539841888).

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

258494112 is a wasteful number, since it uses less digits than its factorization.

258494112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17635 (or 17621 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 258494112 is about 16077.7520816811. The cubic root of 258494112 is about 637.0158205955.

The spelling of 258494112 in words is "two hundred fifty-eight million, four hundred ninety-four thousand, one hundred twelve".