476480956176 has 405 divisors, whose sum is σ = 1452619253631. Its totient is φ = 145786291200.

The previous prime is 476480956111. The next prime is 476480956181. The reversal of 476480956176 is 671659084674.

It is a happy number.

The square root of 476480956176 is 690276.

It is a perfect power (a square), and thus also a powerful number.

476480956176 is a `hidden beast` number, since 4 + 7 + 6 + 4 + 8 + 0 + 9 + 5 + 617 + 6 = 666.

476480956176 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 403321525776 + 73159430400 = 635076^2 + 270480^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7811163186 + ... + 7811163246.

Almost surely, 2^476480956176 is an apocalyptic number.

476480956176 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

476480956176 is the 690276-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476480956176

476480956176 is an abundant number, since it is smaller than the sum of its proper divisors (976138297455).

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

476480956176 is a wasteful number, since it uses less digits than its factorization.

476480956176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 476480956176 in words is "four hundred seventy-six billion, four hundred eighty million, nine hundred fifty-six thousand, one hundred seventy-six".