258568416 has 144 divisors (see below), whose sum is σ = 796899600. Its totient is φ = 81554688.

The previous prime is 258568393. The next prime is 258568421. The reversal of 258568416 is 614865852.

258568416 is a `hidden beast` number, since 2 + 585 + 68 + 4 + 1 + 6 = 666.

258568416 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 (144).

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, 311490 + ... + 312318.

It is an arithmetic number, because the mean of its divisors is an integer number (5534025).

Almost surely, 2^258568416 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 258568416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398449800).

258568416 is an abundant number, since it is smaller than the sum of its proper divisors (538331184).

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

258568416 is a wasteful number, since it uses less digits than its factorization.

258568416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 853 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 258568416 is about 16080.0626864450. The cubic root of 258568416 is about 637.0768513719.

The spelling of 258568416 in words is "two hundred fifty-eight million, five hundred sixty-eight thousand, four hundred sixteen".