258287680 has 112 divisors (see below), whose sum is σ = 713817216. Its totient is φ = 87183360.

The previous prime is 258287669. The next prime is 258287719. The reversal of 258287680 is 86782852.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 258287680.

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 15 ways as a sum of consecutive naturals, for example, 149220 + ... + 150940.

It is an arithmetic number, because the mean of its divisors is an integer number (6373368).

Almost surely, 2^258287680 is an apocalyptic number.

258287680 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 258287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356908608).

258287680 is an abundant number, since it is smaller than the sum of its proper divisors (455529536).

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

258287680 is a wasteful number, since it uses less digits than its factorization.

258287680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 46.

The square root of 258287680 is about 16071.3309965292. The cubic root of 258287680 is about 636.8462029724.

The spelling of 258287680 in words is "two hundred fifty-eight million, two hundred eighty-seven thousand, six hundred eighty".