450330 has 32 divisors (see below), whose sum is σ = 1145664. Its totient is φ = 112896.

The previous prime is 450311. The next prime is 450343. The reversal of 450330 is 33054.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

450330 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 15 ways as a sum of consecutive naturals, for example, 69 + ... + 951.

It is an arithmetic number, because the mean of its divisors is an integer number (35802).

2⁴⁵⁰³³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572832).

450330 is an abundant number, since it is smaller than the sum of its proper divisors (695334).

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

450330 is a wasteful number, since it uses less digits than its factorization.

450330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910.

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 450330 is about 671.0663156500. The cubic root of 450330 is about 76.6496706706.

Adding to 450330 its reverse (33054), we get a palindrome (483384).

It can be divided in two parts, 450 and 330, that added together give a triangular number (780 = T₃₉).

The spelling of 450330 in words is "four hundred fifty thousand, three hundred thirty".