450118656 has 297 divisors, whose sum is σ = 1495032591. Its totient is φ = 130351104.

The previous prime is 450118651. The next prime is 450118681. The reversal of 450118656 is 656811054.

The square root of 450118656 is 21216.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4064256 + 446054400 = 2016^2 + 21120^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 450118656.

It is not an unprimeable number, because it can be changed into a prime (450118651) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26477560 + ... + 26477576.

Almost surely, 2^450118656 is an apocalyptic number.

450118656 is the 21216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450118656

450118656 is an abundant number, since it is smaller than the sum of its proper divisors (1044913935).

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

450118656 is a wasteful number, since it uses less digits than its factorization.

450118656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The cubic root of 450118656 is about 766.3767799649.

Multiplying 450118656 by its sum of digits (36), we get a square (16204271616 = 127296²).

450118656 divided by its sum of digits (36) gives a square (12503296 = 3536²).

The spelling of 450118656 in words is "four hundred fifty million, one hundred eighteen thousand, six hundred fifty-six".