475905312 has 144 divisors (see below), whose sum is σ = 1474200000. Its totient is φ = 145055232.

The previous prime is 475905299. The next prime is 475905319. The reversal of 475905312 is 213509574.

475905312 is a `hidden beast` number, since 4 + 7 + 590 + 53 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (475905319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157189 + ... + 160187.

It is an arithmetic number, because the mean of its divisors is an integer number (10237500).

Almost surely, 2^475905312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475905312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737100000).

475905312 is an abundant number, since it is smaller than the sum of its proper divisors (998294688).

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

475905312 is a wasteful number, since it uses less digits than its factorization.

475905312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3063 (or 3052 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 475905312 is about 21815.2541126616. The cubic root of 475905312 is about 780.7407558572.

The spelling of 475905312 in words is "four hundred seventy-five million, nine hundred five thousand, three hundred twelve".