475580 has 48 divisors (see below), whose sum is σ = 1182720. Its totient is φ = 157248.

The previous prime is 475549. The next prime is 475583. The reversal of 475580 is 85574.

475580 = T₁₂₉ + T₁₃₀ + ... + T₁₇₀.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475583) by changing a digit.

475580 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5981 + ... + 6059.

It is an arithmetic number, because the mean of its divisors is an integer number (24640).

2⁴⁷⁵⁵⁸⁰ 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 475580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591360).

475580 is an abundant number, since it is smaller than the sum of its proper divisors (707140).

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

475580 is a wasteful number, since it uses less digits than its factorization.

475580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 475580 is about 689.6230854605. The cubic root of 475580 is about 78.0562819740.

The spelling of 475580 in words is "four hundred seventy-five thousand, five hundred eighty".