258624 has 42 divisors (see below), whose sum is σ = 742950. Its totient is φ = 86016.

The previous prime is 258623. The next prime is 258631. The reversal of 258624 is 426852.

It can be written as a sum of positive squares in only one way, i.e., 230400 + 28224 = 480^2 + 168^2 .

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258624.

It is not an unprimeable number, because it can be changed into a prime (258623) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 352 + ... + 800.

2²⁵⁸⁶²⁴ is an apocalyptic number.

258624 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 258624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371475).

258624 is an abundant number, since it is smaller than the sum of its proper divisors (484326).

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

258624 is a wasteful number, since it uses less digits than its factorization.

258624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 454 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 258624 is about 508.5508824100. The cubic root of 258624 is about 63.7122498533.

It can be divided in two parts, 25 and 8624, that added together give a square (8649 = 93²).

The spelling of 258624 in words is "two hundred fifty-eight thousand, six hundred twenty-four".