258015680 has 112 divisors (see below), whose sum is σ = 667390080. Its totient is φ = 95007744.

The previous prime is 258015677. The next prime is 258015731. The reversal of 258015680 is 86510852.

It is a happy number.

It is a super-2 number, since 2×258015680² = 133144182251724800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 258015680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 702857 + ... + 703223.

It is an arithmetic number, because the mean of its divisors is an integer number (5958840).

Almost surely, 2^258015680 is an apocalyptic number.

258015680 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 258015680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333695040).

258015680 is an abundant number, since it is smaller than the sum of its proper divisors (409374400).

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

258015680 is an equidigital number, since it uses as much as digits as its factorization.

258015680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 35.

The square root of 258015680 is about 16062.8664938734. The cubic root of 258015680 is about 636.6225724726.

The spelling of 258015680 in words is "two hundred fifty-eight million, fifteen thousand, six hundred eighty".