476466223464 has 1152 divisors, whose sum is σ = 1783464883200. Its totient is φ = 112086374400.

The previous prime is 476466223451. The next prime is 476466223543. The reversal of 476466223464 is 464322664674.

476466223464 is a `hidden beast` number, since 4 + 7 + 6 + 4 + 6 + 622 + 3 + 4 + 6 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 476466223464.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 3637146679 + ... + 3637146809.

It is an arithmetic number, because the mean of its divisors is an integer number (1548146600).

Almost surely, 2^476466223464 is an apocalyptic number.

476466223464 is a gapful number since it is divisible by the number (44) 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 476466223464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891732441600).

476466223464 is an abundant number, since it is smaller than the sum of its proper divisors (1306998659736).

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

476466223464 is a wasteful number, since it uses less digits than its factorization.

476466223464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 289 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 54.

The spelling of 476466223464 in words is "four hundred seventy-six billion, four hundred sixty-six million, two hundred twenty-three thousand, four hundred sixty-four".