475149972471408 has 240 divisors, whose sum is σ = 1441060092501120. Its totient is φ = 145281205264896.

The previous prime is 475149972471403. The next prime is 475149972471431. The reversal of 475149972471408 is 804174279941574.

475149972471408 is a `hidden beast` number, since 4 + 7 + 5 + 1 + 49 + 9 + 72 + 471 + 40 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475149972471403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 477673735 + ... + 478667417.

It is an arithmetic number, because the mean of its divisors is an integer number (6004417052088).

Almost surely, 2^{475149972471408} is an apocalyptic number.

475149972471408 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 475149972471408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720530046250560).

475149972471408 is an abundant number, since it is smaller than the sum of its proper divisors (965910120029712).

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

475149972471408 is a wasteful number, since it uses less digits than its factorization.

475149972471408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995316 (or 995307 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 475149972471408 in words is "four hundred seventy-five trillion, one hundred forty-nine billion, nine hundred seventy-two million, four hundred seventy-one thousand, four hundred eight".