475089600 has 168 divisors, whose sum is σ = 1612910160. Its totient is φ = 122286080.

The previous prime is 475089581. The next prime is 475089617. The reversal of 475089600 is 6980574.

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 23 ways as a sum of consecutive naturals, for example, 137494 + ... + 140906.

Almost surely, 2^475089600 is an apocalyptic number.

475089600 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 475089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806455080).

475089600 is an abundant number, since it is smaller than the sum of its proper divisors (1137820560).

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

475089600 is a wasteful number, since it uses less digits than its factorization.

475089600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3467 (or 3452 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 475089600 is about 21796.5501857519. The cubic root of 475089600 is about 780.2944319086.

The spelling of 475089600 in words is "four hundred seventy-five million, eighty-nine thousand, six hundred".