475848000 has 224 divisors, whose sum is σ = 1746625920. Its totient is φ = 126835200.

The previous prime is 475847987. The next prime is 475848001. The reversal of 475848000 is 848574.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475848001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214899 + ... + 217101.

Almost surely, 2^475848000 is an apocalyptic number.

475848000 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 475848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873312960).

475848000 is an abundant number, since it is smaller than the sum of its proper divisors (1270777920).

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

475848000 is a wasteful number, since it uses less digits than its factorization.

475848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2239 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 475848000 is about 21813.9404968474. The cubic root of 475848000 is about 780.7094137608.

The spelling of 475848000 in words is "four hundred seventy-five million, eight hundred forty-eight thousand".