475776000 has 528 divisors, whose sum is σ = 1992631680. Its totient is φ = 106905600.

The previous prime is 475775987. The next prime is 475776019. The reversal of 475776000 is 677574.

475776000 is a `hidden beast` number, since 47 + 5 + 7 + 7 + 600 + 0 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 8063971 + ... + 8064029.

Almost surely, 2^475776000 is an apocalyptic number.

475776000 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 475776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996315840).

475776000 is an abundant number, since it is smaller than the sum of its proper divisors (1516855680).

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

475776000 is a wasteful number, since it uses less digits than its factorization.

475776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 475776000 is about 21812.2901136034. The cubic root of 475776000 is about 780.6700357009.

The spelling of 475776000 in words is "four hundred seventy-five million, seven hundred seventy-six thousand".