258337104 has 80 divisors (see below), whose sum is σ = 720489600. Its totient is φ = 79518208.

The previous prime is 258337103. The next prime is 258337139. The reversal of 258337104 is 401733852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258337103) 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, 27982 + ... + 36050.

It is an arithmetic number, because the mean of its divisors is an integer number (9006120).

Almost surely, 2^258337104 is an apocalyptic number.

258337104 is a gapful number since it is divisible by the number (24) 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 258337104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360244800).

258337104 is an abundant number, since it is smaller than the sum of its proper divisors (462152496).

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

258337104 is a wasteful number, since it uses less digits than its factorization.

258337104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8132 (or 8126 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 258337104 is about 16072.8685678693. The cubic root of 258337104 is about 636.8868210916.

The spelling of 258337104 in words is "two hundred fifty-eight million, three hundred thirty-seven thousand, one hundred four".