450312 has 32 divisors (see below), whose sum is σ = 1166400. Its totient is φ = 144704.

The previous prime is 450311. The next prime is 450343. The reversal of 450312 is 213054.

It is a junction number, because it is equal to n+sod(n) for n = 450291 and 450300.

It is not an unprimeable number, because it can be changed into a prime (450311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 373 + ... + 1019.

It is an arithmetic number, because the mean of its divisors is an integer number (36450).

2⁴⁵⁰³¹² 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 450312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583200).

450312 is an abundant number, since it is smaller than the sum of its proper divisors (716088).

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

450312 is a wasteful number, since it uses less digits than its factorization.

450312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 450312 is about 671.0529040247. The cubic root of 450312 is about 76.6486494103.

Adding to 450312 its reverse (213054), we get a palindrome (663366).

The spelling of 450312 in words is "four hundred fifty thousand, three hundred twelve".