258030080 has 360 divisors, whose sum is σ = 837579204. Its totient is φ = 75694080.

The previous prime is 258030079. The next prime is 258030103. The reversal of 258030080 is 80030852.

It can be written as a sum of positive squares in 2 ways, for example, as 256512256 + 1517824 = 16016^2 + 1232^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15178232 + ... + 15178248.

Almost surely, 2^258030080 is an apocalyptic number.

258030080 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 258030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418789602).

258030080 is an abundant number, since it is smaller than the sum of its proper divisors (579549124).

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

258030080 is a wasteful number, since it uses less digits than its factorization.

258030080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 258030080 is about 16063.3147264193. The cubic root of 258030080 is about 636.6344156734.

The spelling of 258030080 in words is "two hundred fifty-eight million, thirty thousand, eighty".