480424684800 has 108 divisors (see below), whose sum is σ = 1585501611680. Its totient is φ = 128113244160.

The previous prime is 480424684777. The next prime is 480424684801. The reversal of 480424684800 is 8486424084.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 480424684800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480424684801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12491860 + ... + 12530259.

Almost surely, 2^480424684800 is an apocalyptic number.

480424684800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480424684800 is an abundant number, since it is smaller than the sum of its proper divisors (1105076926880).

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

480424684800 is a wasteful number, since it uses less digits than its factorization.

480424684800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25022148 (or 25022129 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 48.

The spelling of 480424684800 in words is "four hundred eighty billion, four hundred twenty-four million, six hundred eighty-four thousand, eight hundred".