258650160 has 160 divisors (see below), whose sum is σ = 834375168. Its totient is φ = 66232320.

The previous prime is 258650149. The next prime is 258650179. The reversal of 258650160 is 61056852.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 732544 + ... + 732896.

Almost surely, 2^258650160 is an apocalyptic number.

258650160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258650160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417187584).

258650160 is an abundant number, since it is smaller than the sum of its proper divisors (575725008).

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

258650160 is a wasteful number, since it uses less digits than its factorization.

258650160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 258650160 is about 16082.6042667225. The cubic root of 258650160 is about 637.1439796056.

The spelling of 258650160 in words is "two hundred fifty-eight million, six hundred fifty thousand, one hundred sixty".