258500970 has 288 divisors, whose sum is σ = 878387328. Its totient is φ = 54214272.

The previous prime is 258500951. The next prime is 258500999. The reversal of 258500970 is 79005852.

258500970 is a `hidden beast` number, since 2 + 585 + 0 + 0 + 9 + 70 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1547827 + ... + 1547993.

It is an arithmetic number, because the mean of its divisors is an integer number (3049956).

Almost surely, 2^258500970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258500970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439193664).

258500970 is an abundant number, since it is smaller than the sum of its proper divisors (619886358).

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

258500970 is a wasteful number, since it uses less digits than its factorization.

258500970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 258500970 is about 16077.9653563503. The cubic root of 258500970 is about 637.0214540132.

The spelling of 258500970 in words is "two hundred fifty-eight million, five hundred thousand, nine hundred seventy".