475381464480 has 576 divisors, whose sum is σ = 1772204222880. Its totient is φ = 115341262848.

The previous prime is 475381464433. The next prime is 475381464487. The reversal of 475381464480 is 84464183574.

475381464480 is a `hidden beast` number, since 4 + 7 + 53 + 8 + 146 + 448 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 7541880336 + 467839584144 = 86844^2 + 683988^2 .

It is a super-2 number, since 2×475381464480² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (475381464487) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 706361424 + ... + 706362096.

Almost surely, 2^475381464480 is an apocalyptic number.

475381464480 is a gapful number since it is divisible by the number (40) 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 475381464480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886102111440).

475381464480 is an abundant number, since it is smaller than the sum of its proper divisors (1296822758400).

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

475381464480 is a wasteful number, since it uses less digits than its factorization.

475381464480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 475381464480 in words is "four hundred seventy-five billion, three hundred eighty-one million, four hundred sixty-four thousand, four hundred eighty".