475351460100 has 864 divisors, whose sum is σ = 1750207979520. Its totient is φ = 106704000000.

The previous prime is 475351460041. The next prime is 475351460123. The reversal of 475351460100 is 1064153574.

475351460100 is a `hidden beast` number, since 4 + 7 + 5 + 35 + 14 + 601 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 2488751005 + ... + 2488751195.

It is an arithmetic number, because the mean of its divisors is an integer number (2025703680).

Almost surely, 2^475351460100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475351460100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875103989760).

475351460100 is an abundant number, since it is smaller than the sum of its proper divisors (1274856519420).

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

475351460100 is a wasteful number, since it uses less digits than its factorization.

475351460100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 475351460100 in words is "four hundred seventy-five billion, three hundred fifty-one million, four hundred sixty thousand, one hundred".