258342912 has 144 divisors (see below), whose sum is σ = 775943280. Its totient is φ = 84934656.

The previous prime is 258342911. The next prime is 258342937. The reversal of 258342912 is 219243852.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258342911) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3538908 + ... + 3538980.

It is an arithmetic number, because the mean of its divisors is an integer number (5388495).

Almost surely, 2^258342912 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 258342912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387971640).

258342912 is an abundant number, since it is smaller than the sum of its proper divisors (517600368).

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

258342912 is an frugal number, since it uses more digits than its factorization.

258342912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 78 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 258342912 is about 16073.0492439985. The cubic root of 258342912 is about 636.8915939393.

The spelling of 258342912 in words is "two hundred fifty-eight million, three hundred forty-two thousand, nine hundred twelve".