475598900 has 162 divisors, whose sum is σ = 1252806534. Its totient is φ = 156240000.

The previous prime is 475598873. The next prime is 475598917. The reversal of 475598900 is 9895574.

It can be written as a sum of positive squares in 3 ways, for example, as 127328656 + 348270244 = 11284^2 + 18662^2 .

It is a super-3 number, since 3×475598900³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

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 53 ways as a sum of consecutive naturals, for example, 4708850 + ... + 4708950.

Almost surely, 2^475598900 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 475598900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626403267).

475598900 is an abundant number, since it is smaller than the sum of its proper divisors (777207634).

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

475598900 is a wasteful number, since it uses less digits than its factorization.

475598900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 47.

The square root of 475598900 is about 21808.2300978323. The cubic root of 475598900 is about 780.5731597050.

The spelling of 475598900 in words is "four hundred seventy-five million, five hundred ninety-eight thousand, nine hundred".