258375820 has 48 divisors (see below), whose sum is σ = 562383360. Its totient is φ = 99642816.

The previous prime is 258375739. The next prime is 258375833. The reversal of 258375820 is 28573852.

258375820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 66039 + ... + 69841.

It is an arithmetic number, because the mean of its divisors is an integer number (11716320).

Almost surely, 2^258375820 is an apocalyptic number.

258375820 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 258375820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281191680).

258375820 is an abundant number, since it is smaller than the sum of its proper divisors (304007540).

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

258375820 is a wasteful number, since it uses less digits than its factorization.

258375820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3934 (or 3932 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The square root of 258375820 is about 16074.0729126130. The cubic root of 258375820 is about 636.9186354382.

The spelling of 258375820 in words is "two hundred fifty-eight million, three hundred seventy-five thousand, eight hundred twenty".