450144 has 48 divisors (see below), whose sum is σ = 1315440. Its totient is φ = 149760.

The previous prime is 450137. The next prime is 450161. The reversal of 450144 is 441054.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 450144.

It is an unprimeable number.

450144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 604 + ... + 1124.

It is an arithmetic number, because the mean of its divisors is an integer number (27405).

2⁴⁵⁰¹⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657720).

450144 is an abundant number, since it is smaller than the sum of its proper divisors (865296).

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

450144 is a wasteful number, since it uses less digits than its factorization.

450144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 450144 is about 670.9277159277. The cubic root of 450144 is about 76.6391163349.

Adding to 450144 its reverse (441054), we get a palindrome (891198).

The spelling of 450144 in words is "four hundred fifty thousand, one hundred forty-four".