458587116 has 96 divisors (see below), whose sum is σ = 1347852800. Its totient is φ = 133669440.

The previous prime is 458587093. The next prime is 458587141. The reversal of 458587116 is 611785854.

458587116 is a `hidden beast` number, since 4 + 58 + 587 + 1 + 16 = 666.

It is a super-2 number, since 2×458587116² = 420604285922394912, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18081 + ... + 35271.

Almost surely, 2^458587116 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 458587116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673926400).

458587116 is an abundant number, since it is smaller than the sum of its proper divisors (889265684).

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

458587116 is a wasteful number, since it uses less digits than its factorization.

458587116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17236 (or 17228 counting only the distinct ones).

The product of its digits is 268800, while the sum is 45.

The square root of 458587116 is about 21414.6472303421. The cubic root of 458587116 is about 771.1531134691.

The spelling of 458587116 in words is "four hundred fifty-eight million, five hundred eighty-seven thousand, one hundred sixteen".