258433825 has 48 divisors (see below), whose sum is σ = 360976896. Its totient is φ = 182246400.

The previous prime is 258433811. The next prime is 258433831. The reversal of 258433825 is 528334852.

It is not a de Polignac number, because 258433825 - 2⁵ = 258433793 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1138362 + ... + 1138588.

It is an arithmetic number, because the mean of its divisors is an integer number (7520352).

Almost surely, 2^258433825 is an apocalyptic number.

258433825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

258433825 is a deficient number, since it is larger than the sum of its proper divisors (102543071).

258433825 is a wasteful number, since it uses less digits than its factorization.

258433825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 389 counting only the distinct ones).

The product of its digits is 230400, while the sum is 40.

The square root of 258433825 is about 16075.8771144843. The cubic root of 258433825 is about 636.9662943111.

The spelling of 258433825 in words is "two hundred fifty-eight million, four hundred thirty-three thousand, eight hundred twenty-five".