258921768 has 64 divisors (see below), whose sum is σ = 750850560. Its totient is φ = 72870336.

The previous prime is 258921763. The next prime is 258921799. The reversal of 258921768 is 867129852.

It is not an unprimeable number, because it can be changed into a prime (258921763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246 + ... + 22757.

It is an arithmetic number, because the mean of its divisors is an integer number (11732040).

Almost surely, 2^258921768 is an apocalyptic number.

258921768 is a gapful number since it is divisible by the number (28) 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 258921768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375425280).

258921768 is an abundant number, since it is smaller than the sum of its proper divisors (491928792).

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

258921768 is a wasteful number, since it uses less digits than its factorization.

258921768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23086 (or 23082 counting only the distinct ones).

The product of its digits is 483840, while the sum is 48.

The square root of 258921768 is about 16091.0462058873. The cubic root of 258921768 is about 637.3669227797.

The spelling of 258921768 in words is "two hundred fifty-eight million, nine hundred twenty-one thousand, seven hundred sixty-eight".