480684677213 has 32 divisors (see below), whose sum is σ = 540574201440. Its totient is φ = 424362516480.

The previous prime is 480684677177. The next prime is 480684677243. The reversal of 480684677213 is 312776486084.

It can be written as a sum of positive squares in 16 ways, for example, as 111170230084 + 369514447129 = 333422^2 + 607877^2 .

It is a cyclic number.

It is not a de Polignac number, because 480684677213 - 2⁶ = 480684677149 is a prime.

It is a super-3 number, since 3×480684677213³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480684677243) 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, 125798843 + ... + 125802663.

It is an arithmetic number, because the mean of its divisors is an integer number (16892943795).

Almost surely, 2^480684677213 is an apocalyptic number.

It is an amenable number.

480684677213 is a deficient number, since it is larger than the sum of its proper divisors (59889524227).

480684677213 is a wasteful number, since it uses less digits than its factorization.

480684677213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6929.

The product of its (nonzero) digits is 10838016, while the sum is 56.

The spelling of 480684677213 in words is "four hundred eighty billion, six hundred eighty-four million, six hundred seventy-seven thousand, two hundred thirteen".