258458016 has 96 divisors (see below), whose sum is σ = 694310400. Its totient is φ = 84167424.

The previous prime is 258458009. The next prime is 258458017. The reversal of 258458016 is 610854852.

258458016 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 (96).

It is not an unprimeable number, because it can be changed into a prime (258458017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1298685 + ... + 1298883.

It is an arithmetic number, because the mean of its divisors is an integer number (7232400).

Almost surely, 2^258458016 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 258458016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347155200).

258458016 is an abundant number, since it is smaller than the sum of its proper divisors (435852384).

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

258458016 is a wasteful number, since it uses less digits than its factorization.

258458016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 258458016 is about 16076.6294975035. The cubic root of 258458016 is about 636.9861683490.

The spelling of 258458016 in words is "two hundred fifty-eight million, four hundred fifty-eight thousand, sixteen".