258856960 has 96 divisors (see below), whose sum is σ = 658082880. Its totient is φ = 97386496.

The previous prime is 258856937. The next prime is 258856963. The reversal of 258856960 is 69658852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258856963) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 173337 + ... + 174823.

It is an arithmetic number, because the mean of its divisors is an integer number (6855030).

Almost surely, 2^258856960 is an apocalyptic number.

258856960 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 258856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329041440).

258856960 is an abundant number, since it is smaller than the sum of its proper divisors (399225920).

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

258856960 is a wasteful number, since it uses less digits than its factorization.

258856960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 49.

The square root of 258856960 is about 16089.0322891092. The cubic root of 258856960 is about 637.3137407927.

The spelling of 258856960 in words is "two hundred fifty-eight million, eight hundred fifty-six thousand, nine hundred sixty".