258430716 has 96 divisors (see below), whose sum is σ = 700392000. Its totient is φ = 82301184.

The previous prime is 258430693. The next prime is 258430717. The reversal of 258430716 is 617034852.

258430716 is a `hidden beast` number, since 2 + 584 + 3 + 0 + 71 + 6 = 666.

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 (258430717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341010 + ... + 341766.

It is an arithmetic number, because the mean of its divisors is an integer number (7295750).

Almost surely, 2^258430716 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 258430716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350196000).

258430716 is an abundant number, since it is smaller than the sum of its proper divisors (441961284).

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

258430716 is a wasteful number, since it uses less digits than its factorization.

258430716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 258430716 is about 16075.7804165148. The cubic root of 258430716 is about 636.9637400323.

The spelling of 258430716 in words is "two hundred fifty-eight million, four hundred thirty thousand, seven hundred sixteen".