450880 has 28 divisors (see below), whose sum is σ = 1074420. Its totient is φ = 180224.

The previous prime is 450859. The next prime is 450881. The reversal of 450880 is 88054.

It can be written as a sum of positive squares in 2 ways, for example, as 61504 + 389376 = 248^2 + 624^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450881) by changing a digit.

450880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 385 + ... + 1024.

2⁴⁵⁰⁸⁸⁰ is an apocalyptic number.

450880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450880 is an abundant number, since it is smaller than the sum of its proper divisors (623540).

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

450880 is a wasteful number, since it uses less digits than its factorization.

450880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 450880 is about 671.4759861678. The cubic root of 450880 is about 76.6808627356.

The spelling of 450880 in words is "four hundred fifty thousand, eight hundred eighty".