475992 has 48 divisors (see below), whose sum is σ = 1408680. Its totient is φ = 144000.

The previous prime is 475991. The next prime is 475997. The reversal of 475992 is 299574.

475992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

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 475992.

It is not an unprimeable number, because it can be changed into a prime (475991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 492 + ... + 1092.

2⁴⁷⁵⁹⁹² 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 475992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704340).

475992 is an abundant number, since it is smaller than the sum of its proper divisors (932688).

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

475992 is a wasteful number, since it uses less digits than its factorization.

475992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 617 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 475992 is about 689.9217346917. The cubic root of 475992 is about 78.0788157966.

It can be divided in two parts, 4759 and 92, that added together give a triangular number (4851 = T₉₈).

The spelling of 475992 in words is "four hundred seventy-five thousand, nine hundred ninety-two".