258468 has 48 divisors (see below), whose sum is σ = 733824. Its totient is φ = 69120.

The previous prime is 258449. The next prime is 258469. The reversal of 258468 is 864852.

It is not an unprimeable number, because it can be changed into a prime (258469) by changing a digit.

258468 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1338 + ... + 1518.

It is an arithmetic number, because the mean of its divisors is an integer number (15288).

2²⁵⁸⁴⁶⁸ is an apocalyptic number.

258468 is a gapful number since it is divisible by the number (28) 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 258468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366912).

258468 is an abundant number, since it is smaller than the sum of its proper divisors (475356).

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

258468 is a wasteful number, since it uses less digits than its factorization.

258468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 210 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 258468 is about 508.3974822912. The cubic root of 258468 is about 63.6994370310.

The spelling of 258468 in words is "two hundred fifty-eight thousand, four hundred sixty-eight".