475080900 has 216 divisors, whose sum is σ = 1633020480. Its totient is φ = 104455680.

The previous prime is 475080889. The next prime is 475080919. The reversal of 475080900 is 9080574.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1765966 + ... + 1766234.

It is an arithmetic number, because the mean of its divisors is an integer number (7560280).

Almost surely, 2^475080900 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 475080900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816510240).

475080900 is an abundant number, since it is smaller than the sum of its proper divisors (1157939580).

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

475080900 is a wasteful number, since it uses less digits than its factorization.

475080900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 475080900 is about 21796.3506119717. The cubic root of 475080900 is about 780.2896688751.

The spelling of 475080900 in words is "four hundred seventy-five million, eighty thousand, nine hundred".