258801664 has 68 divisors (see below), whose sum is σ = 566226720. Its totient is φ = 117309440.

The previous prime is 258801661. The next prime is 258801691. The reversal of 258801664 is 466108852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258801661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 720717 + ... + 721075.

Almost surely, 2^258801664 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 258801664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283113360).

258801664 is an abundant number, since it is smaller than the sum of its proper divisors (307425056).

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

258801664 is an frugal number, since it uses more digits than its factorization.

258801664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 258801664 is about 16087.3137596057. The cubic root of 258801664 is about 637.2683574141.

The spelling of 258801664 in words is "two hundred fifty-eight million, eight hundred one thousand, six hundred sixty-four".