475560 has 48 divisors (see below), whose sum is σ = 1546740. Its totient is φ = 126720.

The previous prime is 475549. The next prime is 475583. The reversal of 475560 is 65574.

It can be written as a sum of positive squares in 2 ways, for example, as 459684 + 15876 = 678^2 + 126^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 475560.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301 + ... + 1020.

2⁴⁷⁵⁵⁶⁰ is an apocalyptic number.

475560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

475560 is an abundant number, since it is smaller than the sum of its proper divisors (1071180).

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

475560 is a wasteful number, since it uses less digits than its factorization.

475560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 475560 is about 689.6085846333. The cubic root of 475560 is about 78.0551877679.

It can be divided in two parts, 475 and 560, that added together give a triangular number (1035 = T₄₅).

The spelling of 475560 in words is "four hundred seventy-five thousand, five hundred sixty".