258760672 has 48 divisors (see below), whose sum is σ = 562881312. Its totient is φ = 116469760.

The previous prime is 258760661. The next prime is 258760693. The reversal of 258760672 is 276067852.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2172 + ... + 22852.

It is an arithmetic number, because the mean of its divisors is an integer number (11726694).

Almost surely, 2^258760672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258760672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281440656).

258760672 is an abundant number, since it is smaller than the sum of its proper divisors (304120640).

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

258760672 is a wasteful number, since it uses less digits than its factorization.

258760672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20731 (or 20723 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The square root of 258760672 is about 16086.0396617688. The cubic root of 258760672 is about 637.2347096605.

The spelling of 258760672 in words is "two hundred fifty-eight million, seven hundred sixty thousand, six hundred seventy-two".