450720256 has 80 divisors (see below), whose sum is σ = 1045129536. Its totient is φ = 190181376.

The previous prime is 450720251. The next prime is 450720287. The reversal of 450720256 is 652027054.

It is not an unprimeable number, because it can be changed into a prime (450720251) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 239190 + ... + 241066.

Almost surely, 2^450720256 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 450720256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522564768).

450720256 is an abundant number, since it is smaller than the sum of its proper divisors (594409280).

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

450720256 is an equidigital number, since it uses as much as digits as its factorization.

450720256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 450720256 is about 21230.1732447006. The cubic root of 450720256 is about 766.7180581387.

The spelling of 450720256 in words is "four hundred fifty million, seven hundred twenty thousand, two hundred fifty-six".