258496848 has 120 divisors (see below), whose sum is σ = 757253120. Its totient is φ = 82218240.

The previous prime is 258496831. The next prime is 258496859. The reversal of 258496848 is 848694852.

It is a junction number, because it is equal to n+sod(n) for n = 258496794 and 258496803.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 352290 + ... + 353022.

Almost surely, 2^258496848 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 258496848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378626560).

258496848 is an abundant number, since it is smaller than the sum of its proper divisors (498756272).

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

258496848 is a wasteful number, since it uses less digits than its factorization.

258496848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 848 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The square root of 258496848 is about 16077.8371679775. The cubic root of 258496848 is about 637.0180680602.

The spelling of 258496848 in words is "two hundred fifty-eight million, four hundred ninety-six thousand, eight hundred forty-eight".