457563168 has 216 divisors, whose sum is σ = 1432883088. Its totient is φ = 143607168.

The previous prime is 457563089. The next prime is 457563199. The reversal of 457563168 is 861365754.

457563168 is a `hidden beast` number, since 4 + 5 + 7 + 5 + 631 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2807055 + ... + 2807217.

It is an arithmetic number, because the mean of its divisors is an integer number (6633718).

Almost surely, 2^457563168 is an apocalyptic number.

457563168 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 457563168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716441544).

457563168 is an abundant number, since it is smaller than the sum of its proper divisors (975319920).

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

457563168 is a wasteful number, since it uses less digits than its factorization.

457563168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 187 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 457563168 is about 21390.7262148811. The cubic root of 457563168 is about 770.5787339691.

The spelling of 457563168 in words is "four hundred fifty-seven million, five hundred sixty-three thousand, one hundred sixty-eight".