258444 has 24 divisors (see below), whose sum is σ = 670320. Its totient is φ = 86112.

The previous prime is 258443. The next prime is 258449. The reversal of 258444 is 444852.

It is a super-2 number, since 2×258444² = 133586602272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (258443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1089 + ... + 1304.

It is an arithmetic number, because the mean of its divisors is an integer number (27930).

2²⁵⁸⁴⁴⁴ is an apocalyptic number.

It is an amenable number.

258444 is an abundant number, since it is smaller than the sum of its proper divisors (411876).

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

258444 is a wasteful number, since it uses less digits than its factorization.

258444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2406 (or 2398 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 258444 is about 508.3738781645. The cubic root of 258444 is about 63.6974653701.

It can be divided in two parts, 2584 and 44, that added together give a triangular number (2628 = T₇₂).

The spelling of 258444 in words is "two hundred fifty-eight thousand, four hundred forty-four".