258358464 has 448 divisors, whose sum is σ = 983162880. Its totient is φ = 64696320.

The previous prime is 258358459. The next prime is 258358489. The reversal of 258358464 is 464853852.

258358464 is a `hidden beast` number, since 2 + 5 + 8 + 3 + 584 + 64 = 666.

258358464 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 (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4874662 + ... + 4874714.

It is an arithmetic number, because the mean of its divisors is an integer number (2194560).

Almost surely, 2^258358464 is an apocalyptic number.

258358464 is a gapful number since it is divisible by the number (24) 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 258358464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491581440).

258358464 is an abundant number, since it is smaller than the sum of its proper divisors (724804416).

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

258358464 is a wasteful number, since it uses less digits than its factorization.

258358464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 109 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 258358464 is about 16073.5330279314. The cubic root of 258358464 is about 636.9043737742.

The spelling of 258358464 in words is "two hundred fifty-eight million, three hundred fifty-eight thousand, four hundred sixty-four".