475907328 has 108 divisors (see below), whose sum is σ = 1477801780. Its totient is φ = 146423808.

The previous prime is 475907321. The next prime is 475907347. The reversal of 475907328 is 823709574.

475907328 is a `hidden beast` number, since 475 + 90 + 73 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 86713344 + 389193984 = 9312^2 + 19728^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475907321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22008 + ... + 37896.

Almost surely, 2^475907328 is an apocalyptic number.

475907328 is a gapful number since it is divisible by the number (48) 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 475907328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738900890).

475907328 is an abundant number, since it is smaller than the sum of its proper divisors (1001894452).

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

475907328 is a wasteful number, since it uses less digits than its factorization.

475907328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15924 (or 15907 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 475907328 is about 21815.3003188129. The cubic root of 475907328 is about 780.7418582972.

The spelling of 475907328 in words is "four hundred seventy-five million, nine hundred seven thousand, three hundred twenty-eight".