463971179364 has 288 divisors, whose sum is σ = 1432091437056. Its totient is φ = 113561948160.

The previous prime is 463971179363. The next prime is 463971179381.

463971179364 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 463971179298 and 463971179307.

It is not an unprimeable number, because it can be changed into a prime (463971179363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64374249 + ... + 64381455.

It is an arithmetic number, because the mean of its divisors is an integer number (4972539712).

Almost surely, 2^463971179364 is an apocalyptic number.

463971179364 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 463971179364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716045718528).

463971179364 is an abundant number, since it is smaller than the sum of its proper divisors (968120257692).

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

463971179364 is a wasteful number, since it uses less digits than its factorization.

463971179364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7463 (or 7442 counting only the distinct ones).

The product of its digits is 20575296, while the sum is 60.

The spelling of 463971179364 in words is "four hundred sixty-three billion, nine hundred seventy-one million, one hundred seventy-nine thousand, three hundred sixty-four".