258216984 has 80 divisors (see below), whose sum is σ = 732112920. Its totient is φ = 85017600.

The previous prime is 258216979. The next prime is 258216991. The reversal of 258216984 is 489612852.

258216984 is a `hidden beast` number, since 2 + 582 + 1 + 69 + 8 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51384 + ... + 56184.

Almost surely, 2^258216984 is an apocalyptic number.

258216984 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 258216984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366056460).

258216984 is an abundant number, since it is smaller than the sum of its proper divisors (473895936).

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

258216984 is a wasteful number, since it uses less digits than its factorization.

258216984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4902 (or 4889 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 258216984 is about 16069.1314015413. The cubic root of 258216984 is about 636.7880938807.

The spelling of 258216984 in words is "two hundred fifty-eight million, two hundred sixteen thousand, nine hundred eighty-four".