258739640 has 96 divisors (see below), whose sum is σ = 617725440. Its totient is φ = 97493760.

The previous prime is 258739639. The next prime is 258739651. The reversal of 258739640 is 46937852.

It is a junction number, because it is equal to n+sod(n) for n = 258739591 and 258739600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2037257 + ... + 2037383.

It is an arithmetic number, because the mean of its divisors is an integer number (6434640).

Almost surely, 2^258739640 is an apocalyptic number.

258739640 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 258739640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308862720).

258739640 is an abundant number, since it is smaller than the sum of its proper divisors (358985800).

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

258739640 is a wasteful number, since it uses less digits than its factorization.

258739640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The square root of 258739640 is about 16085.3859139282. The cubic root of 258739640 is about 637.2174444357.

The spelling of 258739640 in words is "two hundred fifty-eight million, seven hundred thirty-nine thousand, six hundred forty".