450768160 has 48 divisors (see below), whose sum is σ = 1120996800. Its totient is φ = 170816256.

The previous prime is 450768133. The next prime is 450768169. The reversal of 450768160 is 61867054.

It is not an unprimeable number, because it can be changed into a prime (450768169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71100 + ... + 77179.

It is an arithmetic number, because the mean of its divisors is an integer number (23354100).

Almost surely, 2^450768160 is an apocalyptic number.

450768160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450768160 is an abundant number, since it is smaller than the sum of its proper divisors (670228640).

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

450768160 is a wasteful number, since it uses less digits than its factorization.

450768160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148313 (or 148305 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 450768160 is about 21231.3014203086. The cubic root of 450768160 is about 766.7452202644.

The spelling of 450768160 in words is "four hundred fifty million, seven hundred sixty-eight thousand, one hundred sixty".