476683256448 has 256 divisors, whose sum is σ = 1677769113600. Its totient is φ = 130273532928.

The previous prime is 476683256429. The next prime is 476683256473. The reversal of 476683256448 is 844652386674.

476683256448 is a `hidden beast` number, since 4 + 7 + 6 + 68 + 3 + 2 + 564 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128065 + ... + 984767.

It is an arithmetic number, because the mean of its divisors is an integer number (6553785600).

Almost surely, 2^476683256448 is an apocalyptic number.

476683256448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476683256448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838884556800).

476683256448 is an abundant number, since it is smaller than the sum of its proper divisors (1201085857152).

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

476683256448 is a wasteful number, since it uses less digits than its factorization.

476683256448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856756 (or 856738 counting only the distinct ones).

The product of its digits is 185794560, while the sum is 63.

The spelling of 476683256448 in words is "four hundred seventy-six billion, six hundred eighty-three million, two hundred fifty-six thousand, four hundred forty-eight".