258095880 has 384 divisors, whose sum is σ = 1030648320. Its totient is φ = 54743040.

The previous prime is 258095879. The next prime is 258095881. The reversal of 258095880 is 88590852.

It is an interprime number because it is at equal distance from previous prime (258095879) and next prime (258095881).

It is a super-2 number, since 2×258095880² = 133226966545948800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (258095881) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3535524 + ... + 3535596.

It is an arithmetic number, because the mean of its divisors is an integer number (2683980).

Almost surely, 2^258095880 is an apocalyptic number.

258095880 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 258095880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515324160).

258095880 is an abundant number, since it is smaller than the sum of its proper divisors (772552440).

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

258095880 is a wasteful number, since it uses less digits than its factorization.

258095880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The square root of 258095880 is about 16065.3627410028. The cubic root of 258095880 is about 636.6885269153.

The spelling of 258095880 in words is "two hundred fifty-eight million, ninety-five thousand, eight hundred eighty".