475068672 has 288 divisors, whose sum is σ = 1607074560. Its totient is φ = 137134080.

The previous prime is 475068667. The next prime is 475068683. The reversal of 475068672 is 276860574.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1527397 + ... + 1527707.

It is an arithmetic number, because the mean of its divisors is an integer number (5580120).

Almost surely, 2^475068672 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 475068672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803537280).

475068672 is an abundant number, since it is smaller than the sum of its proper divisors (1132005888).

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

475068672 is a wasteful number, since it uses less digits than its factorization.

475068672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 475068672 is about 21796.0701044936. The cubic root of 475068672 is about 780.2829742511.

The spelling of 475068672 in words is "four hundred seventy-five million, sixty-eight thousand, six hundred seventy-two".