475875360 has 72 divisors (see below), whose sum is σ = 1623929580. Its totient is φ = 126899712.

The previous prime is 475875353. The next prime is 475875371. The reversal of 475875360 is 63578574.

475875360 is a `hidden beast` number, since 4 + 7 + 587 + 5 + 3 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 432473616 + 43401744 = 20796^2 + 6588^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 11 ways as a sum of consecutive naturals, for example, 163795 + ... + 166674.

Almost surely, 2^475875360 is an apocalyptic number.

475875360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

475875360 is an abundant number, since it is smaller than the sum of its proper divisors (1148054220).

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

475875360 is a wasteful number, since it uses less digits than its factorization.

475875360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330490 (or 330479 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 475875360 is about 21814.5676097419. The cubic root of 475875360 is about 780.7243763820.

The spelling of 475875360 in words is "four hundred seventy-five million, eight hundred seventy-five thousand, three hundred sixty".