475566 has 48 divisors (see below), whose sum is σ = 1194624. Its totient is φ = 123552.

The previous prime is 475549. The next prime is 475583. The reversal of 475566 is 665574.

475566 = 49² + 50² + ... + 115².

It is an interprime number because it is at equal distance from previous prime (475549) and next prime (475583).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

Its product of digits (25200) is a multiple of the sum of its prime factors (105).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7065 + ... + 7131.

It is an arithmetic number, because the mean of its divisors is an integer number (24888).

2⁴⁷⁵⁵⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597312).

475566 is an abundant number, since it is smaller than the sum of its proper divisors (719058).

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

475566 is a wasteful number, since it uses less digits than its factorization.

475566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 92 counting only the distinct ones).

The product of its digits is 25200, while the sum is 33.

The square root of 475566 is about 689.6129349135. The cubic root of 475566 is about 78.0555160330.

The spelling of 475566 in words is "four hundred seventy-five thousand, five hundred sixty-six".