473856 has 36 divisors (see below), whose sum is σ = 1263192. Its totient is φ = 157696.

The previous prime is 473839. The next prime is 473857. The reversal of 473856 is 658374.

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

It is not an unprimeable number, because it can be changed into a prime (473857) by changing a digit.

473856 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 3 ways as a sum of consecutive naturals, for example, 460 + ... + 1076.

2⁴⁷³⁸⁵⁶ 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 473856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631596).

473856 is an abundant number, since it is smaller than the sum of its proper divisors (789336).

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

473856 is an equidigital number, since it uses as much as digits as its factorization.

473856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 622 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 473856 is about 688.3719924576. The cubic root of 473856 is about 77.9618485350.

The spelling of 473856 in words is "four hundred seventy-three thousand, eight hundred fifty-six".