258260608 has 32 divisors (see below), whose sum is σ = 517140000. Its totient is φ = 128468736.

The previous prime is 258260581. The next prime is 258260609. The reversal of 258260608 is 806062852.

258260608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (258260609) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20403 + ... + 30541.

It is an arithmetic number, because the mean of its divisors is an integer number (16160625).

Almost surely, 2^258260608 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 258260608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258570000).

258260608 is an abundant number, since it is smaller than the sum of its proper divisors (258879392).

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

258260608 is a wasteful number, since it uses less digits than its factorization.

258260608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10352 (or 10340 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 258260608 is about 16070.4887293449. The cubic root of 258260608 is about 636.8239521979.

It can be divided in two parts, 2582 and 60608, that added together give a triangular number (63190 = T₃₅₅).

The spelling of 258260608 in words is "two hundred fifty-eight million, two hundred sixty thousand, six hundred eight".