258667840 has 56 divisors (see below), whose sum is σ = 623437920. Its totient is φ = 102210048.

The previous prime is 258667823. The next prime is 258667861. The reversal of 258667840 is 48766852.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21691 + ... + 31429.

It is an arithmetic number, because the mean of its divisors is an integer number (11132820).

Almost surely, 2^258667840 is an apocalyptic number.

258667840 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 258667840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311718960).

258667840 is an abundant number, since it is smaller than the sum of its proper divisors (364770080).

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

258667840 is an equidigital number, since it uses as much as digits as its factorization.

258667840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9839 (or 9829 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The square root of 258667840 is about 16083.1539195520. The cubic root of 258667840 is about 637.1584965744.

The spelling of 258667840 in words is "two hundred fifty-eight million, six hundred sixty-seven thousand, eight hundred forty".