476680512800461 has 8 divisors (see below), whose sum is σ = 505237145380920. Its totient is φ = 448181280488448.

The previous prime is 476680512800423. The next prime is 476680512800483. The reversal of 476680512800461 is 164008215086674.

It can be written as a sum of positive squares in 4 ways, for example, as 322546549695561 + 154133963104900 = 17959581^2 + 12415070^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 476680512800461 - 2²⁵ = 476680479246029 is a prime.

It is a super-2 number, since 2×476680512800461² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 476680512800396 and 476680512800405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476680512800161) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 14350050006 + ... + 14350083223.

It is an arithmetic number, because the mean of its divisors is an integer number (63154643172615).

Almost surely, 2^{476680512800461} is an apocalyptic number.

It is an amenable number.

476680512800461 is a deficient number, since it is larger than the sum of its proper divisors (28556632580459).

476680512800461 is a wasteful number, since it uses less digits than its factorization.

476680512800461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28700134223.

The product of its (nonzero) digits is 15482880, while the sum is 58.

The spelling of 476680512800461 in words is "four hundred seventy-six trillion, six hundred eighty billion, five hundred twelve million, eight hundred thousand, four hundred sixty-one".