258486144 has 256 divisors, whose sum is σ = 848378880. Its totient is φ = 68124672.

The previous prime is 258486133. The next prime is 258486149. The reversal of 258486144 is 441684852.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 258486096 and 258486105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258486149) 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 31 ways as a sum of consecutive naturals, for example, 2287432 + ... + 2287544.

It is an arithmetic number, because the mean of its divisors is an integer number (3313980).

Almost surely, 2^258486144 is an apocalyptic number.

258486144 is a gapful number since it is divisible by the number (24) 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 258486144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424189440).

258486144 is an abundant number, since it is smaller than the sum of its proper divisors (589892736).

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

258486144 is a wasteful number, since it uses less digits than its factorization.

258486144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 185 counting only the distinct ones).

The product of its digits is 245760, while the sum is 42.

The square root of 258486144 is about 16077.5042839366. The cubic root of 258486144 is about 637.0092752573.

The spelling of 258486144 in words is "two hundred fifty-eight million, four hundred eighty-six thousand, one hundred forty-four".