450288256 has 64 divisors (see below), whose sum is σ = 983410560. Its totient is φ = 203673600.

The previous prime is 450288253. The next prime is 450288329. The reversal of 450288256 is 652882054.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (450288253) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 338665 + ... + 339991.

It is an arithmetic number, because the mean of its divisors is an integer number (15365790).

Almost surely, 2^450288256 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 450288256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491705280).

450288256 is an abundant number, since it is smaller than the sum of its proper divisors (533122304).

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

450288256 is a wasteful number, since it uses less digits than its factorization.

450288256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The square root of 450288256 is about 21219.9966069743. The cubic root of 450288256 is about 766.4730221289.

The spelling of 450288256 in words is "four hundred fifty million, two hundred eighty-eight thousand, two hundred fifty-six".