475080 has 64 divisors (see below), whose sum is σ = 1477440. Its totient is φ = 122112.

The previous prime is 475073. The next prime is 475081. The reversal of 475080 is 80574.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 475080.

It is not an unprimeable number, because it can be changed into a prime (475081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4387 + ... + 4493.

It is an arithmetic number, because the mean of its divisors is an integer number (23085).

2⁴⁷⁵⁰⁸⁰ is an apocalyptic number.

475080 is a gapful number since it is divisible by the number (40) 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 475080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738720).

475080 is an abundant number, since it is smaller than the sum of its proper divisors (1002360).

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

475080 is a wasteful number, since it uses less digits than its factorization.

475080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 475080 is about 689.2604732610. The cubic root of 475080 is about 78.0289176144.

The spelling of 475080 in words is "four hundred seventy-five thousand, eighty".