475609860 has 288 divisors, whose sum is σ = 1689206400. Its totient is φ = 110880000.

The previous prime is 475609853. The next prime is 475609861. The reversal of 475609860 is 68906574.

475609860 is a `hidden beast` number, since 4 + 7 + 560 + 9 + 86 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (475609861) 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 95 ways as a sum of consecutive naturals, for example, 1894735 + ... + 1894985.

It is an arithmetic number, because the mean of its divisors is an integer number (5865300).

Almost surely, 2^475609860 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 475609860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844603200).

475609860 is an abundant number, since it is smaller than the sum of its proper divisors (1213596540).

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

475609860 is a wasteful number, since it uses less digits than its factorization.

475609860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 475609860 is about 21808.4813776659. The cubic root of 475609860 is about 780.5791556651.

The spelling of 475609860 in words is "four hundred seventy-five million, six hundred nine thousand, eight hundred sixty".