475675200 has 1008 divisors, whose sum is σ = 2345822080. Its totient is φ = 91238400.

The previous prime is 475675183. The next prime is 475675223. The reversal of 475675200 is 2576574.

475675200 is a `hidden beast` number, since 4 + 75 + 67 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a zygodrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36590394 + ... + 36590406.

Almost surely, 2^475675200 is an apocalyptic number.

475675200 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 475675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172911040).

475675200 is an abundant number, since it is smaller than the sum of its proper divisors (1870146880).

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

475675200 is a wasteful number, since it uses less digits than its factorization.

475675200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 475675200 is about 21809.9793672530. The cubic root of 475675200 is about 780.6148997422.

The spelling of 475675200 in words is "four hundred seventy-five million, six hundred seventy-five thousand, two hundred".