450320 has 40 divisors (see below), whose sum is σ = 1130136. Its totient is φ = 165888.

The previous prime is 450311. The next prime is 450343. The reversal of 450320 is 23054.

It can be written as a sum of positive squares in 4 ways, for example, as 4096 + 446224 = 64^2 + 668^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 450295 and 450304.

It is an unprimeable number.

450320 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, 824 + ... + 1256.

2⁴⁵⁰³²⁰ is an apocalyptic number.

450320 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 450320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565068).

450320 is an abundant number, since it is smaller than the sum of its proper divisors (679816).

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

450320 is a wasteful number, since it uses less digits than its factorization.

450320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 450320 is about 671.0588647801. The cubic root of 450320 is about 76.6491033072.

Adding to 450320 its reverse (23054), we get a palindrome (473374).

The spelling of 450320 in words is "four hundred fifty thousand, three hundred twenty".