475828864 has 64 divisors (see below), whose sum is σ = 1101844800. Its totient is φ = 200448000.

The previous prime is 475828823. The next prime is 475828867. The reversal of 475828864 is 468828574.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (475828867) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 48364 + ... + 57364.

It is an arithmetic number, because the mean of its divisors is an integer number (17216325).

Almost surely, 2^475828864 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 475828864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550922400).

475828864 is an abundant number, since it is smaller than the sum of its proper divisors (626015936).

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

475828864 is an equidigital number, since it uses as much as digits as its factorization.

475828864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9081 (or 9069 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 52.

The square root of 475828864 is about 21813.5018738395. The cubic root of 475828864 is about 780.6989483351.

The spelling of 475828864 in words is "four hundred seventy-five million, eight hundred twenty-eight thousand, eight hundred sixty-four".