258546816 has 160 divisors (see below), whose sum is σ = 839749680. Its totient is φ = 78312960.

The previous prime is 258546797. The next prime is 258546833. The reversal of 258546816 is 618645852.

258546816 is a `hidden beast` number, since 2 + 585 + 4 + 68 + 1 + 6 = 666.

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

Its product of digits (460800) is a multiple of the sum of its prime factors (2304).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 112915 + ... + 115181.

Almost surely, 2^258546816 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 258546816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419874840).

258546816 is an abundant number, since it is smaller than the sum of its proper divisors (581202864).

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

258546816 is a wasteful number, since it uses less digits than its factorization.

258546816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 2283 counting only the distinct ones).

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

The square root of 258546816 is about 16079.3910332450. The cubic root of 258546816 is about 637.0591110727.

The spelling of 258546816 in words is "two hundred fifty-eight million, five hundred forty-six thousand, eight hundred sixteen".