258114080 has 96 divisors (see below), whose sum is σ = 700068096. Its totient is φ = 88095744.

The previous prime is 258114053. The next prime is 258114089. The reversal of 258114080 is 80411852.

It is not an unprimeable number, because it can be changed into a prime (258114089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 354677 + ... + 355403.

It is an arithmetic number, because the mean of its divisors is an integer number (7292376).

Almost surely, 2^258114080 is an apocalyptic number.

258114080 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 258114080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350034048).

258114080 is an abundant number, since it is smaller than the sum of its proper divisors (441954016).

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

258114080 is a wasteful number, since it uses less digits than its factorization.

258114080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 258114080 is about 16065.9291670292. The cubic root of 258114080 is about 636.7034922308.

It can be divided in two parts, 2581 and 14080, that added together give a palindrome (16661).

The spelling of 258114080 in words is "two hundred fifty-eight million, one hundred fourteen thousand, eighty".