480800080400 has 30 divisors (see below), whose sum is σ = 1155122194122. Its totient is φ = 192320032000.

The previous prime is 480800080381. The next prime is 480800080427. The reversal of 480800080400 is 4080008084.

It can be written as a sum of positive squares in 3 ways, for example, as 111374377984 + 369425702416 = 333728^2 + 607804^2 .

It is a super-3 number, since 3×480800080400³ (a number of 36 digits) contains 333 as substring.

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 5 ways as a sum of consecutive naturals, for example, 600999701 + ... + 601000500.

Almost surely, 2^480800080400 is an apocalyptic number.

480800080400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480800080400 is an abundant number, since it is smaller than the sum of its proper divisors (674322113722).

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

480800080400 is a wasteful number, since it uses less digits than its factorization.

480800080400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202000219 (or 1202000208 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

Adding to 480800080400 its reverse (4080008084), we get a palindrome (484880088484).

The spelling of 480800080400 in words is "four hundred eighty billion, eight hundred million, eighty thousand, four hundred".