475424022528 has 1008 divisors, whose sum is σ = 1762116685056. Its totient is φ = 122376683520.

The previous prime is 475424022499. The next prime is 475424022529. The reversal of 475424022528 is 825220424574.

475424022528 is a `hidden beast` number, since 47 + 5 + 42 + 40 + 2 + 2 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475424022529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2489130913 + ... + 2489131103.

It is an arithmetic number, because the mean of its divisors is an integer number (1748131632).

Almost surely, 2^475424022528 is an apocalyptic number.

475424022528 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 475424022528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881058342528).

475424022528 is an abundant number, since it is smaller than the sum of its proper divisors (1286692662528).

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

475424022528 is a wasteful number, since it uses less digits than its factorization.

475424022528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1433600, while the sum is 45.

The spelling of 475424022528 in words is "four hundred seventy-five billion, four hundred twenty-four million, twenty-two thousand, five hundred twenty-eight".