480467824 has 40 divisors (see below), whose sum is σ = 966813120. Its totient is φ = 231033600.

The previous prime is 480467773. The next prime is 480467873. The reversal of 480467824 is 428764084.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123834 + ... + 127654.

It is an arithmetic number, because the mean of its divisors is an integer number (24170328).

Almost surely, 2^480467824 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 480467824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483406560).

480467824 is an abundant number, since it is smaller than the sum of its proper divisors (486345296).

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

480467824 is a wasteful number, since it uses less digits than its factorization.

480467824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4129 (or 4123 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 43.

The square root of 480467824 is about 21919.5762732768. The cubic root of 480467824 is about 783.2278163390.

The spelling of 480467824 in words is "four hundred eighty million, four hundred sixty-seven thousand, eight hundred twenty-four".