475920 has 60 divisors (see below), whose sum is σ = 1600716. Its totient is φ = 126720.

The previous prime is 475907. The next prime is 475921. The reversal of 475920 is 29574.

475920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 278784 + 197136 = 528^2 + 444^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is an Ulam number.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 475920.

It is not an unprimeable number, because it can be changed into a prime (475921) by changing a digit.

475920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 390 + ... + 1050.

2⁴⁷⁵⁹²⁰ is an apocalyptic number.

475920 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 475920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800358).

475920 is an abundant number, since it is smaller than the sum of its proper divisors (1124796).

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

475920 is a wasteful number, since it uses less digits than its factorization.

475920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 475920 is about 689.8695528866. The cubic root of 475920 is about 78.0748787849.

The spelling of 475920 in words is "four hundred seventy-five thousand, nine hundred twenty".