258879807 has 48 divisors (see below), whose sum is σ = 417231360. Its totient is φ = 159890112.

The previous prime is 258879793. The next prime is 258879809. The reversal of 258879807 is 708978852.

It is not a de Polignac number, because 258879807 - 2⁷ = 258879679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258879809) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216403 + ... + 217595.

It is an arithmetic number, because the mean of its divisors is an integer number (8692320).

Almost surely, 2^258879807 is an apocalyptic number.

258879807 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

258879807 is a deficient number, since it is larger than the sum of its proper divisors (158351553).

258879807 is a wasteful number, since it uses less digits than its factorization.

258879807 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The square root of 258879807 is about 16089.7422912861. The cubic root of 258879807 is about 637.3324902450.

The spelling of 258879807 in words is "two hundred fifty-eight million, eight hundred seventy-nine thousand, eight hundred seven".