258353380 has 48 divisors (see below), whose sum is σ = 568028160. Its totient is φ = 98582400.

The previous prime is 258353339. The next prime is 258353387. The reversal of 258353380 is 83353852.

258353380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (258353387) 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, 41086 + ... + 46954.

It is an arithmetic number, because the mean of its divisors is an integer number (11833920).

Almost surely, 2^258353380 is an apocalyptic number.

258353380 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 258353380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284014080).

258353380 is an abundant number, since it is smaller than the sum of its proper divisors (309674780).

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

258353380 is a wasteful number, since it uses less digits than its factorization.

258353380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5980 (or 5978 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 258353380 is about 16073.3748789730. The cubic root of 258353380 is about 636.9001960605.

The spelling of 258353380 in words is "two hundred fifty-eight million, three hundred fifty-three thousand, three hundred eighty".