258792 has 32 divisors (see below), whose sum is σ = 665280. Its totient is φ = 83840.

The previous prime is 258787. The next prime is 258803. The reversal of 258792 is 297852.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258792.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 853 + ... + 1115.

It is an arithmetic number, because the mean of its divisors is an integer number (20790).

2²⁵⁸⁷⁹² 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 258792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332640).

258792 is an abundant number, since it is smaller than the sum of its proper divisors (406488).

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

258792 is a wasteful number, since it uses less digits than its factorization.

258792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 309 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 258792 is about 508.7160308070. The cubic root of 258792 is about 63.7260425165.

Subtracting 258792 from its reverse (297852), we obtain a triangular number (39060 = T₂₇₉).

The spelling of 258792 in words is "two hundred fifty-eight thousand, seven hundred ninety-two".