258613992 has 256 divisors, whose sum is σ = 903168000. Its totient is φ = 66749184.

The previous prime is 258613981. The next prime is 258614023. The reversal of 258613992 is 299316852.

258613992 is a `hidden beast` number, since 25 + 8 + 613 + 9 + 9 + 2 = 666.

258613992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1159593 + ... + 1159815.

It is an arithmetic number, because the mean of its divisors is an integer number (3528000).

Almost surely, 2^258613992 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 258613992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451584000).

258613992 is an abundant number, since it is smaller than the sum of its proper divisors (644554008).

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

258613992 is a wasteful number, since it uses less digits than its factorization.

258613992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 307 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 258613992 is about 16081.4797826568. The cubic root of 258613992 is about 637.1142801618.

The spelling of 258613992 in words is "two hundred fifty-eight million, six hundred thirteen thousand, nine hundred ninety-two".