258080 has 24 divisors (see below), whose sum is σ = 610092. Its totient is φ = 103168.

The previous prime is 258067. The next prime is 258101. The reversal of 258080 is 80852.

It can be written as a sum of positive squares in 2 ways, for example, as 258064 + 16 = 508^2 + 4^2 .

It is a plaindrome in base 11.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 647 + ... + 966.

2²⁵⁸⁰⁸⁰ is an apocalyptic number.

258080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258080 is an abundant number, since it is smaller than the sum of its proper divisors (352012).

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

258080 is a wasteful number, since it uses less digits than its factorization.

258080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 258080 is about 508.0157477874. The cubic root of 258080 is about 63.6675468692.

The spelling of 258080 in words is "two hundred fifty-eight thousand, eighty".