258608412 has 144 divisors (see below), whose sum is σ = 713276928. Its totient is φ = 78798720.

The previous prime is 258608393. The next prime is 258608419. The reversal of 258608412 is 214806852.

258608412 is a `hidden beast` number, since 2 + 5 + 8 + 608 + 41 + 2 = 666.

258608412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258608419) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3115723 + ... + 3115805.

It is an arithmetic number, because the mean of its divisors is an integer number (4953312).

Almost surely, 2^258608412 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 258608412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356638464).

258608412 is an abundant number, since it is smaller than the sum of its proper divisors (454668516).

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

258608412 is a wasteful number, since it uses less digits than its factorization.

258608412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 258608412 is about 16081.3062902241. The cubic root of 258608412 is about 637.1096978843.

The spelling of 258608412 in words is "two hundred fifty-eight million, six hundred eight thousand, four hundred twelve".