475975680 has 208 divisors, whose sum is σ = 1560090624. Its totient is φ = 123863040.

The previous prime is 475975667. The next prime is 475975681. The reversal of 475975680 is 86579574.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475975681) 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 15 ways as a sum of consecutive naturals, for example, 3747777 + ... + 3747903.

Almost surely, 2^475975680 is an apocalyptic number.

475975680 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 475975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780045312).

475975680 is an abundant number, since it is smaller than the sum of its proper divisors (1084114944).

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

475975680 is a wasteful number, since it uses less digits than its factorization.

475975680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The square root of 475975680 is about 21816.8668694659. The cubic root of 475975680 is about 780.7792344204.

The spelling of 475975680 in words is "four hundred seventy-five million, nine hundred seventy-five thousand, six hundred eighty".