258328320 has 72 divisors (see below), whose sum is σ = 825048336. Its totient is φ = 68886528.

The previous prime is 258328253. The next prime is 258328393. The reversal of 258328320 is 23823852.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29797 + ... + 37476.

Almost surely, 2^258328320 is an apocalyptic number.

258328320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258328320 is an abundant number, since it is smaller than the sum of its proper divisors (566720016).

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

258328320 is an equidigital number, since it uses as much as digits as its factorization.

258328320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67297 (or 67283 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 258328320 is about 16072.5953100301. The cubic root of 258328320 is about 636.8796025167.

It can be divided in two parts, 2583 and 28320, that multiplied together give a triangular number (73150560 = T₁₂₀₉₅).

The spelling of 258328320 in words is "two hundred fifty-eight million, three hundred twenty-eight thousand, three hundred twenty".