258214968 has 144 divisors (see below), whose sum is σ = 778672440. Its totient is φ = 77235840.

The previous prime is 258214919. The next prime is 258214973. The reversal of 258214968 is 869412852.

258214968 is a `hidden beast` number, since 2 + 582 + 1 + 4 + 9 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 932046 + ... + 932322.

Almost surely, 2^258214968 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 258214968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389336220).

258214968 is an abundant number, since it is smaller than the sum of its proper divisors (520457472).

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

258214968 is a wasteful number, since it uses less digits than its factorization.

258214968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 400 counting only the distinct ones).

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

The square root of 258214968 is about 16069.0686724527. The cubic root of 258214968 is about 636.7864366593.

The spelling of 258214968 in words is "two hundred fifty-eight million, two hundred fourteen thousand, nine hundred sixty-eight".