480686804481 has 32 divisors (see below), whose sum is σ = 749981102080. Its totient is φ = 271198497600.

The previous prime is 480686804453. The next prime is 480686804501. The reversal of 480686804481 is 184408686084.

It is not a de Polignac number, because 480686804481 - 2¹¹ = 480686802433 is a prime.

It is a super-3 number, since 3×480686804481³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (480686804581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10439935 + ... + 10485876.

It is an arithmetic number, because the mean of its divisors is an integer number (23436909440).

Almost surely, 2^480686804481 is an apocalyptic number.

It is an amenable number.

480686804481 is a deficient number, since it is larger than the sum of its proper divisors (269294297599).

480686804481 is a wasteful number, since it uses less digits than its factorization.

480686804481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20925877.

The product of its (nonzero) digits is 9437184, while the sum is 57.

The spelling of 480686804481 in words is "four hundred eighty billion, six hundred eighty-six million, eight hundred four thousand, four hundred eighty-one".