480435228800 has 72 divisors (see below), whose sum is σ = 1186922019015. Its totient is φ = 192158407680.

The previous prime is 480435228751. The next prime is 480435228869. The reversal of 480435228800 is 8822534084.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 167202481216 + 313232747584 = 408904^2 + 559672^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=490120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 39203474 + ... + 39215726.

Almost surely, 2^480435228800 is an apocalyptic number.

480435228800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480435228800 is an abundant number, since it is smaller than the sum of its proper divisors (706486790215).

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

480435228800 is an frugal number, since it uses more digits than its factorization.

480435228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24530 (or 12260 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 44.

The spelling of 480435228800 in words is "four hundred eighty billion, four hundred thirty-five million, two hundred twenty-eight thousand, eight hundred".