475828900 has 36 divisors (see below), whose sum is σ = 1037780800. Its totient is φ = 189367200.

The previous prime is 475828891. The next prime is 475828901. The reversal of 475828900 is 9828574.

It is not an unprimeable number, because it can be changed into a prime (475828901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7945 + ... + 31855.

Almost surely, 2^475828900 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 475828900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518890400).

475828900 is an abundant number, since it is smaller than the sum of its proper divisors (561951900).

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

475828900 is a wasteful number, since it uses less digits than its factorization.

475828900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24124 (or 24117 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The square root of 475828900 is about 21813.5026990165. The cubic root of 475828900 is about 780.6989680237.

The spelling of 475828900 in words is "four hundred seventy-five million, eight hundred twenty-eight thousand, nine hundred".