450464256 has 120 divisors (see below), whose sum is σ = 1418418144. Its totient is φ = 136488960.

The previous prime is 450464219. The next prime is 450464299. The reversal of 450464256 is 652464054.

450464256 is a `hidden beast` number, since 4 + 5 + 0 + 4 + 642 + 5 + 6 = 666.

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 450464256.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 46245 + ... + 55131.

Almost surely, 2^450464256 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 450464256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709209072).

450464256 is an abundant number, since it is smaller than the sum of its proper divisors (967953888).

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

450464256 is a wasteful number, since it uses less digits than its factorization.

450464256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8922 (or 8903 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 450464256 is about 21224.1432335913. The cubic root of 450464256 is about 766.5728705248.

The spelling of 450464256 in words is "four hundred fifty million, four hundred sixty-four thousand, two hundred fifty-six".