450216000 has 504 divisors, whose sum is σ = 1791044424. Its totient is φ = 107827200.

The previous prime is 450215999. The next prime is 450216017. The reversal of 450216000 is 612054.

It is a happy number.

450216000 is a `hidden beast` number, since 4 + 502 + 160 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 378847296 + 71368704 = 19464^2 + 8448^2 .

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 12167982 + ... + 12168018.

Almost surely, 2^450216000 is an apocalyptic number.

450216000 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 450216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895522212).

450216000 is an abundant number, since it is smaller than the sum of its proper divisors (1340828424).

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

450216000 is a wasteful number, since it uses less digits than its factorization.

450216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 60 counting only the distinct ones).

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

The square root of 450216000 is about 21218.2939936273. The cubic root of 450216000 is about 766.4320222904.

Adding to 450216000 its reverse (612054), we get a palindrome (450828054).

It can be divided in two parts, 4502 and 16000, that added together give a palindrome (20502).

The spelling of 450216000 in words is "four hundred fifty million, two hundred sixteen thousand".