450405 has 12 divisors (see below), whose sum is σ = 780780. Its totient is φ = 240192.

The previous prime is 450403. The next prime is 450413. The reversal of 450405 is 504054.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 349281 + 101124 = 591^2 + 318^2 .

It is not a de Polignac number, because 450405 - 2¹ = 450403 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

450405 is a modest number, since divided by 405 gives 45 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4960 + ... + 5049.

It is an arithmetic number, because the mean of its divisors is an integer number (65065).

2⁴⁵⁰⁴⁰⁵ is an apocalyptic number.

450405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

450405 is a deficient number, since it is larger than the sum of its proper divisors (330375).

450405 is a wasteful number, since it uses less digits than its factorization.

450405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10020 (or 10017 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 450405 is about 671.1221945369. The cubic root of 450405 is about 76.6539256290.

Adding to 450405 its reverse (504054), we get a palindrome (954459).

The spelling of 450405 in words is "four hundred fifty thousand, four hundred five".