258386856 has 128 divisors (see below), whose sum is σ = 800459520. Its totient is φ = 67682304.

The previous prime is 258386837. The next prime is 258386861. The reversal of 258386856 is 658683852.

It is a junction number, because it is equal to n+sod(n) for n = 258386799 and 258386808.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 421206 + ... + 421818.

It is an arithmetic number, because the mean of its divisors is an integer number (6253590).

Almost surely, 2^258386856 is an apocalyptic number.

258386856 is a gapful number since it is divisible by the number (26) 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 258386856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400229760).

258386856 is an abundant number, since it is smaller than the sum of its proper divisors (542072664).

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

258386856 is a wasteful number, since it uses less digits than its factorization.

258386856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 831 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 51.

The square root of 258386856 is about 16074.4161946865. The cubic root of 258386856 is about 636.9277035390.

The spelling of 258386856 in words is "two hundred fifty-eight million, three hundred eighty-six thousand, eight hundred fifty-six".