258144 has 24 divisors (see below), whose sum is σ = 677880. Its totient is φ = 86016.

The previous prime is 258143. The next prime is 258157. The reversal of 258144 is 441852.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1249 + ... + 1440.

It is an arithmetic number, because the mean of its divisors is an integer number (28245).

2²⁵⁸¹⁴⁴ is an apocalyptic number.

258144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

258144 is an abundant number, since it is smaller than the sum of its proper divisors (419736).

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

258144 is a wasteful number, since it uses less digits than its factorization.

258144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702 (or 2694 counting only the distinct ones).

The product of its digits is 1280, while the sum is 24.

The square root of 258144 is about 508.0787340561. The cubic root of 258144 is about 63.6728093023.

Adding to 258144 its reverse (441852), we get a palindrome (699996).

The spelling of 258144 in words is "two hundred fifty-eight thousand, one hundred forty-four".