258792489 has 20 divisors (see below), whose sum is σ = 387560580. Its totient is φ = 172095840.

The previous prime is 258792473. The next prime is 258792497. The reversal of 258792489 is 984297852.

It can be written as a sum of positive squares in 2 ways, for example, as 2152089 + 256640400 = 1467^2 + 16020^2 .

It is not a de Polignac number, because 258792489 - 2⁴ = 258792473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (258792449) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30307 + ... + 37895.

It is an arithmetic number, because the mean of its divisors is an integer number (19378029).

Almost surely, 2^258792489 is an apocalyptic number.

It is an amenable number.

258792489 is a deficient number, since it is larger than the sum of its proper divisors (128768091).

258792489 is an equidigital number, since it uses as much as digits as its factorization.

258792489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8022 (or 8013 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 258792489 is about 16087.0285944919. The cubic root of 258792489 is about 637.2608265425.

The spelling of 258792489 in words is "two hundred fifty-eight million, seven hundred ninety-two thousand, four hundred eighty-nine".