480008256 has 224 divisors, whose sum is σ = 1586715648. Its totient is φ = 124692480.

The previous prime is 480008251. The next prime is 480008273. The reversal of 480008256 is 652800084.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (480008251) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1450011 + ... + 1450341.

It is an arithmetic number, because the mean of its divisors is an integer number (7083552).

Almost surely, 2^480008256 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 480008256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793357824).

480008256 is an abundant number, since it is smaller than the sum of its proper divisors (1106707392).

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

480008256 is a wasteful number, since it uses less digits than its factorization.

480008256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 480008256 is about 21909.0907159562. The cubic root of 480008256 is about 782.9780172563.

The spelling of 480008256 in words is "four hundred eighty million, eight thousand, two hundred fifty-six".