258841560 has 128 divisors (see below), whose sum is σ = 825811200. Its totient is φ = 64719360.

The previous prime is 258841547. The next prime is 258841567. The reversal of 258841560 is 65148852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258841567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243430 + ... + 244490.

It is an arithmetic number, because the mean of its divisors is an integer number (6451650).

Almost surely, 2^258841560 is an apocalyptic number.

258841560 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 258841560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412905600).

258841560 is an abundant number, since it is smaller than the sum of its proper divisors (566969640).

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

258841560 is a wasteful number, since it uses less digits than its factorization.

258841560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 258841560 is about 16088.5536950964. The cubic root of 258841560 is about 637.3011021186.

The spelling of 258841560 in words is "two hundred fifty-eight million, eight hundred forty-one thousand, five hundred sixty".