455367168 has 120 divisors (see below), whose sum is σ = 1391766948. Its totient is φ = 142835712.

The previous prime is 455367163. The next prime is 455367181. The reversal of 455367168 is 861763554.

455367168 is a `hidden beast` number, since 45 + 536 + 71 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 427993344 + 27373824 = 20688^2 + 5232^2 .

It is not an unprimeable number, because it can be changed into a prime (455367163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75430 + ... + 81242.

Almost surely, 2^455367168 is an apocalyptic number.

455367168 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 455367168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695883474).

455367168 is an abundant number, since it is smaller than the sum of its proper divisors (936399780).

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

455367168 is a wasteful number, since it uses less digits than its factorization.

455367168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5854 (or 5835 counting only the distinct ones).

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

The square root of 455367168 is about 21339.3338227790. Note that the first 3 decimals coincide. The cubic root of 455367168 is about 769.3440007919.

It can be divided in two parts, 455367 and 168, that added together give a triangular number (455535 = T₉₅₄).

The spelling of 455367168 in words is "four hundred fifty-five million, three hundred sixty-seven thousand, one hundred sixty-eight".