450172160 has 72 divisors (see below), whose sum is σ = 1103514720. Its totient is φ = 175859712.

The previous prime is 450172139. The next prime is 450172171. The reversal of 450172160 is 61271054.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50951 + ... + 59129.

Almost surely, 2^450172160 is an apocalyptic number.

450172160 is a gapful number since it is divisible by the number (40) 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 450172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551757360).

450172160 is an abundant number, since it is smaller than the sum of its proper divisors (653342560).

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

450172160 is an equidigital number, since it uses as much as digits as its factorization.

450172160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8243 (or 8229 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 450172160 is about 21217.2608976748. The cubic root of 450172160 is about 766.4071442537.

The spelling of 450172160 in words is "four hundred fifty million, one hundred seventy-two thousand, one hundred sixty".