450560 has 56 divisors (see below), whose sum is σ = 1179576. Its totient is φ = 163840.

The previous prime is 450557. The next prime is 450563. The reversal of 450560 is 65054.

450560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (450557) and next prime (450563).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40955 + ... + 40965.

2⁴⁵⁰⁵⁶⁰ is an apocalyptic number.

450560 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 450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589788).

450560 is an abundant number, since it is smaller than the sum of its proper divisors (729016).

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

450560 is an equidigital number, since it uses as much as digits as its factorization.

450560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 450560 is about 671.2376628289. The cubic root of 450560 is about 76.6627177130.

The spelling of 450560 in words is "four hundred fifty thousand, five hundred sixty".