258419268 has 96 divisors (see below), whose sum is σ = 690923520. Its totient is φ = 83492640.

The previous prime is 258419267. The next prime is 258419279. The reversal of 258419268 is 862914852.

258419268 is a `hidden beast` number, since 2 + 584 + 1 + 9 + 2 + 68 = 666.

258419268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (258419263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 513505 + ... + 514007.

It is an arithmetic number, because the mean of its divisors is an integer number (7197120).

Almost surely, 2^258419268 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 258419268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345461760).

258419268 is an abundant number, since it is smaller than the sum of its proper divisors (432504252).

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

258419268 is a wasteful number, since it uses less digits than its factorization.

258419268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 646 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 258419268 is about 16075.4243489869. The cubic root of 258419268 is about 636.9543344571.

The spelling of 258419268 in words is "two hundred fifty-eight million, four hundred nineteen thousand, two hundred sixty-eight".