258348960 has 192 divisors, whose sum is σ = 916876800. Its totient is φ = 67931136.

The previous prime is 258348953. The next prime is 258349027. The reversal of 258348960 is 69843852.

258348960 is a `hidden beast` number, since 2 + 583 + 4 + 8 + 9 + 60 = 666.

258348960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340902 + ... + 341658.

It is an arithmetic number, because the mean of its divisors is an integer number (4775400).

Almost surely, 2^258348960 is an apocalyptic number.

258348960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258348960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458438400).

258348960 is an abundant number, since it is smaller than the sum of its proper divisors (658527840).

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

258348960 is a wasteful number, since it uses less digits than its factorization.

258348960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 258348960 is about 16073.2373839249. The cubic root of 258348960 is about 636.8965639360.

The spelling of 258348960 in words is "two hundred fifty-eight million, three hundred forty-eight thousand, nine hundred sixty".