450320256 has 128 divisors (see below), whose sum is σ = 1337220000. Its totient is φ = 149188608.

The previous prime is 450320249. The next prime is 450320267. The reversal of 450320256 is 652023054.

450320256 is a `hidden beast` number, since 450 + 3 + 202 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 791140 + ... + 791708.

Almost surely, 2^450320256 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 450320256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668610000).

450320256 is an abundant number, since it is smaller than the sum of its proper divisors (886899744).

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

450320256 is a wasteful number, since it uses less digits than its factorization.

450320256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 450320256 is about 21220.7505993544. The cubic root of 450320256 is about 766.4911783177.

The spelling of 450320256 in words is "four hundred fifty million, three hundred twenty thousand, two hundred fifty-six".