258735740 has 48 divisors (see below), whose sum is σ = 572685120. Its totient is φ = 97996800.

The previous prime is 258735739. The next prime is 258735769. The reversal of 258735740 is 47537852.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 43676 + ... + 49244.

It is an arithmetic number, because the mean of its divisors is an integer number (11930940).

Almost surely, 2^258735740 is an apocalyptic number.

258735740 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 258735740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286342560).

258735740 is an abundant number, since it is smaller than the sum of its proper divisors (313949380).

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

258735740 is a wasteful number, since it uses less digits than its factorization.

258735740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5702 (or 5700 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 41.

The square root of 258735740 is about 16085.2646854194. The cubic root of 258735740 is about 637.2142428125.

It can be divided in two parts, 25873 and 5740, that added together give a palindrome (31613).

The spelling of 258735740 in words is "two hundred fifty-eight million, seven hundred thirty-five thousand, seven hundred forty".