258666048 has 140 divisors (see below), whose sum is σ = 786114252. Its totient is φ = 84049920.

The previous prime is 258666043. The next prime is 258666049. The reversal of 258666048 is 840666852.

It can be written as a sum of positive squares in 2 ways, for example, as 42928704 + 215737344 = 6552^2 + 14688^2 .

It is a junction number, because it is equal to n+sod(n) for n = 258665994 and 258666012.

It is not an unprimeable number, because it can be changed into a prime (258666043) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 211936 + ... + 213152.

Almost surely, 2^258666048 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 258666048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393057126).

258666048 is an abundant number, since it is smaller than the sum of its proper divisors (527448204).

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

258666048 is a wasteful number, since it uses less digits than its factorization.

258666048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 258666048 is about 16083.0982089895. The cubic root of 258666048 is about 637.1570252013.

The spelling of 258666048 in words is "two hundred fifty-eight million, six hundred sixty-six thousand, forty-eight".