258752 has 28 divisors (see below), whose sum is σ = 554736. Its totient is φ = 119040.

The previous prime is 258743. The next prime is 258763. The reversal of 258752 is 257852.

258752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258752.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 677 + ... + 987.

It is an arithmetic number, because the mean of its divisors is an integer number (19812).

2²⁵⁸⁷⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277368).

258752 is an abundant number, since it is smaller than the sum of its proper divisors (295984).

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

258752 is a wasteful number, since it uses less digits than its factorization.

258752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 326 counting only the distinct ones).

The product of its digits is 5600, while the sum is 29.

The square root of 258752 is about 508.6767146233. The cubic root of 258752 is about 63.7227590906.

Subtracting from 258752 its reverse (257852), we obtain a square (900 = 30²).

The spelling of 258752 in words is "two hundred fifty-eight thousand, seven hundred fifty-two".