450225216 has 280 divisors, whose sum is σ = 1608002880. Its totient is φ = 121678848.

The previous prime is 450225199. The next prime is 450225227. The reversal of 450225216 is 612522054.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 450225216.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 689146 + ... + 689798.

Almost surely, 2^450225216 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 450225216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804001440).

450225216 is an abundant number, since it is smaller than the sum of its proper divisors (1157777664).

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

450225216 is a wasteful number, since it uses less digits than its factorization.

450225216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 450225216 is about 21218.5111636043. The cubic root of 450225216 is about 766.4372519205.

The spelling of 450225216 in words is "four hundred fifty million, two hundred twenty-five thousand, two hundred sixteen".