480800484804 has 12 divisors (see below), whose sum is σ = 1121867797904. Its totient is φ = 160266828264.

The previous prime is 480800484797. The next prime is 480800484817. The reversal of 480800484804 is 408484008084.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-3 number, since 3×480800484804³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20033353522 + ... + 20033353545.

Almost surely, 2^480800484804 is an apocalyptic number.

It is an amenable number.

480800484804 is an abundant number, since it is smaller than the sum of its proper divisors (641067313100).

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

480800484804 is a wasteful number, since it uses less digits than its factorization.

480800484804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40066707074 (or 40066707072 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The spelling of 480800484804 in words is "four hundred eighty billion, eight hundred million, four hundred eighty-four thousand, eight hundred four".