258741260 has 48 divisors (see below), whose sum is σ = 576338112. Its totient is φ = 97363200.

The previous prime is 258741209. The next prime is 258741269. The reversal of 258741260 is 62147852.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 258741260.

It is not an unprimeable number, because it can be changed into a prime (258741269) 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, 23450 + ... + 32670.

It is an arithmetic number, because the mean of its divisors is an integer number (12007044).

Almost surely, 2^258741260 is an apocalyptic number.

258741260 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 258741260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288169056).

258741260 is an abundant number, since it is smaller than the sum of its proper divisors (317596852).

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

258741260 is a wasteful number, since it uses less digits than its factorization.

258741260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9314 (or 9312 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 258741260 is about 16085.4362701171. The cubic root of 258741260 is about 637.2187743312.

The spelling of 258741260 in words is "two hundred fifty-eight million, seven hundred forty-one thousand, two hundred sixty".