458481168 has 80 divisors (see below), whose sum is σ = 1320679360. Its totient is φ = 152285184.

The previous prime is 458481167. The next prime is 458481181. The reversal of 458481168 is 861184854.

458481168 is a `hidden beast` number, since 4 + 5 + 8 + 481 + 168 = 666.

It is not an unprimeable number, because it can be changed into a prime (458481167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130896 + ... + 134352.

It is an arithmetic number, because the mean of its divisors is an integer number (16508492).

Almost surely, 2^458481168 is an apocalyptic number.

458481168 is a gapful number since it is divisible by the number (48) 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 458481168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660339680).

458481168 is an abundant number, since it is smaller than the sum of its proper divisors (862198192).

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

458481168 is a wasteful number, since it uses less digits than its factorization.

458481168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3781 (or 3769 counting only the distinct ones).

The product of its digits is 245760, while the sum is 45.

The square root of 458481168 is about 21412.1733600305. The cubic root of 458481168 is about 771.0937220471.

The spelling of 458481168 in words is "four hundred fifty-eight million, four hundred eighty-one thousand, one hundred sixty-eight".