477520508322 has 486 divisors, whose sum is σ = 1327959229779. Its totient is φ = 123838640640.

The previous prime is 477520508321. The next prime is 477520508431. The reversal of 477520508322 is 223805025774.

477520508322 is a `hidden beast` number, since 4 + 77 + 52 + 0 + 508 + 3 + 22 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 193590320121 + 283930188201 = 439989^2 + 532851^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=488631.

It is not an unprimeable number, because it can be changed into a prime (477520508321) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 7127171733 + ... + 7127171799.

Almost surely, 2^477520508322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 477520508322

477520508322 is an abundant number, since it is smaller than the sum of its proper divisors (850438721457).

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

477520508322 is a wasteful number, since it uses less digits than its factorization.

477520508322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 477520508322 in words is "four hundred seventy-seven billion, five hundred twenty million, five hundred eight thousand, three hundred twenty-two".