258275080 has 96 divisors (see below), whose sum is σ = 679766040. Its totient is φ = 88058880.

The previous prime is 258275057. The next prime is 258275089. The reversal of 258275080 is 80572852.

It can be written as a sum of positive squares in 4 ways, for example, as 38464804 + 219810276 = 6202^2 + 14826^2 .

It is not an unprimeable number, because it can be changed into a prime (258275089) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 613270 + ... + 613690.

Almost surely, 2^258275080 is an apocalyptic number.

258275080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258275080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339883020).

258275080 is an abundant number, since it is smaller than the sum of its proper divisors (421490960).

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

258275080 is a wasteful number, since it uses less digits than its factorization.

258275080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 37.

The square root of 258275080 is about 16070.9389893684. The cubic root of 258275080 is about 636.8358470873.

The spelling of 258275080 in words is "two hundred fifty-eight million, two hundred seventy-five thousand, eighty".