476460817056 has 720 divisors, whose sum is σ = 1682186486400. Its totient is φ = 131189103360.

The previous prime is 476460817003. The next prime is 476460817111. The reversal of 476460817056 is 650718064674.

476460817056 is a `hidden beast` number, since 4 + 7 + 6 + 460 + 8 + 170 + 5 + 6 = 666.

It is a super-2 number, since 2×476460817056² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 476460816993 and 476460817011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1993559785 + ... + 1993560023.

It is an arithmetic number, because the mean of its divisors is an integer number (2336370120).

Almost surely, 2^476460817056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476460817056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841093243200).

476460817056 is an abundant number, since it is smaller than the sum of its proper divisors (1205725669344).

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

476460817056 is an equidigital number, since it uses as much as digits as its factorization.

476460817056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 476460817056 in words is "four hundred seventy-six billion, four hundred sixty million, eight hundred seventeen thousand, fifty-six".