258460652412 has 288 divisors, whose sum is σ = 702709862400. Its totient is φ = 83033076672.

The previous prime is 258460652393. The next prime is 258460652441. The reversal of 258460652412 is 214256064852.

258460652412 is a `hidden beast` number, since 2 + 5 + 8 + 4 + 606 + 5 + 24 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 681954039 + ... + 681954417.

It is an arithmetic number, because the mean of its divisors is an integer number (2439964800).

Almost surely, 2^258460652412 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 258460652412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351354931200).

258460652412 is an abundant number, since it is smaller than the sum of its proper divisors (444249209988).

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

258460652412 is a wasteful number, since it uses less digits than its factorization.

258460652412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 258460652412 in words is "two hundred fifty-eight billion, four hundred sixty million, six hundred fifty-two thousand, four hundred twelve".