450216 has 72 divisors (see below), whose sum is σ = 1356030. Its totient is φ = 134784.

The previous prime is 450209. The next prime is 450217. The reversal of 450216 is 612054.

It is a happy number.

450216 is a `hidden beast` number, since 450 + 216 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 324900 + 125316 = 570^2 + 354^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 not an unprimeable number, because it can be changed into a prime (450217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12150 + ... + 12186.

2⁴⁵⁰²¹⁶ 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 450216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678015).

450216 is an abundant number, since it is smaller than the sum of its proper divisors (905814).

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

450216 is a wasteful number, since it uses less digits than its factorization.

450216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 450216 is about 670.9813708293. The cubic root of 450216 is about 76.6432022290.

It can be divided in two parts, 450 and 216, that added together give a palindrome (666).

The spelling of 450216 in words is "four hundred fifty thousand, two hundred sixteen".