480397824 has 320 divisors, whose sum is σ = 1571328000. Its totient is φ = 144322560.

The previous prime is 480397787. The next prime is 480397867. The reversal of 480397824 is 428793084.

480397824 is a `hidden beast` number, since 480 + 3 + 97 + 82 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 480397824.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8142307 + ... + 8142365.

It is an arithmetic number, because the mean of its divisors is an integer number (4910400).

Almost surely, 2^480397824 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 480397824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785664000).

480397824 is an abundant number, since it is smaller than the sum of its proper divisors (1090930176).

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

480397824 is a wasteful number, since it uses less digits than its factorization.

480397824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 480397824 is about 21917.9794689200. The cubic root of 480397824 is about 783.1897779889.

The spelling of 480397824 in words is "four hundred eighty million, three hundred ninety-seven thousand, eight hundred twenty-four".