475439680 has 168 divisors, whose sum is σ = 1237978728. Its totient is φ = 173801472.

The previous prime is 475439611. The next prime is 475439689. The reversal of 475439680 is 86934574.

It can be written as a sum of positive squares in 12 ways, for example, as 2985984 + 472453696 = 1728^2 + 21736^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 475439680.

It is not an unprimeable number, because it can be changed into a prime (475439689) 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 23 ways as a sum of consecutive naturals, for example, 4901392 + ... + 4901488.

It is an arithmetic number, because the mean of its divisors is an integer number (7368921).

Almost surely, 2^475439680 is an apocalyptic number.

475439680 is a gapful number since it is divisible by the number (40) 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 475439680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618989364).

475439680 is an abundant number, since it is smaller than the sum of its proper divisors (762539048).

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

475439680 is a wasteful number, since it uses less digits than its factorization.

475439680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The square root of 475439680 is about 21804.5793355433. The cubic root of 475439680 is about 780.4860437689.

The spelling of 475439680 in words is "four hundred seventy-five million, four hundred thirty-nine thousand, six hundred eighty".