475804800 has 192 divisors, whose sum is σ = 1741629600. Its totient is φ = 126858240.

The previous prime is 475804799. The next prime is 475804801. The reversal of 475804800 is 8408574.

It is an interprime number because it is at equal distance from previous prime (475804799) and next prime (475804801).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (475804801) 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 23 ways as a sum of consecutive naturals, for example, 83647 + ... + 89153.

Almost surely, 2^475804800 is an apocalyptic number.

475804800 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 475804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870814800).

475804800 is an abundant number, since it is smaller than the sum of its proper divisors (1265824800).

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

475804800 is a wasteful number, since it uses less digits than its factorization.

475804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5540 (or 5517 counting only the distinct ones).

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

The square root of 475804800 is about 21812.9502818853. The cubic root of 475804800 is about 780.6857874015.

The spelling of 475804800 in words is "four hundred seventy-five million, eight hundred four thousand, eight hundred".