480344256 has 420 divisors, whose sum is σ = 1737823296. Its totient is φ = 130636800.

The previous prime is 480344251. The next prime is 480344269. The reversal of 480344256 is 652443084.

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 480344256.

It is not an unprimeable number, because it can be changed into a prime (480344251) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7874466 + ... + 7874526.

Almost surely, 2^480344256 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 480344256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868911648).

480344256 is an abundant number, since it is smaller than the sum of its proper divisors (1257479040).

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

480344256 is a wasteful number, since it uses less digits than its factorization.

480344256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 480344256 is about 21916.7574244002. The cubic root of 480344256 is about 783.1606663739.

The spelling of 480344256 in words is "four hundred eighty million, three hundred forty-four thousand, two hundred fifty-six".