450408168 has 64 divisors (see below), whose sum is σ = 1429872000. Its totient is φ = 128687616.

The previous prime is 450408157. The next prime is 450408173. The reversal of 450408168 is 861804054.

450408168 is a `hidden beast` number, since 450 + 40 + 8 + 168 = 666.

It is a super-2 number, since 2×450408168² = 405735035602232448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147433 + ... + 150456.

It is an arithmetic number, because the mean of its divisors is an integer number (22341750).

Almost surely, 2^450408168 is an apocalyptic number.

It is an amenable number.

450408168 is an abundant number, since it is smaller than the sum of its proper divisors (979463832).

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

450408168 is a wasteful number, since it uses less digits than its factorization.

450408168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297911 (or 297901 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 450408168 is about 21222.8218670374. The cubic root of 450408168 is about 766.5410534803.

The spelling of 450408168 in words is "four hundred fifty million, four hundred eight thousand, one hundred sixty-eight".