258094144 has 112 divisors (see below), whose sum is σ = 647248896. Its totient is φ = 99187200.

The previous prime is 258094141. The next prime is 258094211. The reversal of 258094144 is 441490852.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×258094144² = 133225174334185472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (258094141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408709 + ... + 409339.

It is an arithmetic number, because the mean of its divisors is an integer number (5779008).

Almost surely, 2^258094144 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 258094144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323624448).

258094144 is an abundant number, since it is smaller than the sum of its proper divisors (389154752).

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

258094144 is a wasteful number, since it uses less digits than its factorization.

258094144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 258094144 is about 16065.3087116308. The cubic root of 258094144 is about 636.6870994176.

The spelling of 258094144 in words is "two hundred fifty-eight million, ninety-four thousand, one hundred forty-four".