258834816 has 48 divisors (see below), whose sum is σ = 744827460. Its totient is φ = 86277888.

The previous prime is 258834811. The next prime is 258834817. The reversal of 258834816 is 618438852.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258834811) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111190 + ... + 113493.

Almost surely, 2^258834816 is an apocalyptic number.

It is an amenable number.

258834816 is an abundant number, since it is smaller than the sum of its proper divisors (485992644).

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

258834816 is a wasteful number, since it uses less digits than its factorization.

258834816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224703 (or 224688 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 258834816 is about 16088.3441037293. The cubic root of 258834816 is about 637.2955672064.

The spelling of 258834816 in words is "two hundred fifty-eight million, eight hundred thirty-four thousand, eight hundred sixteen".