473984 has 48 divisors (see below), whose sum is σ = 1128120. Its totient is φ = 194304.

The previous prime is 473981. The next prime is 473987. The reversal of 473984 is 489374.

It is an interprime number because it is at equal distance from previous prime (473981) and next prime (473987).

Its product of digits (24192) is a multiple of the sum of its prime divisors (32).

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 473984.

It is not an unprimeable number, because it can be changed into a prime (473981) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20597 + ... + 20619.

2⁴⁷³⁹⁸⁴ 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 473984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564060).

473984 is an abundant number, since it is smaller than the sum of its proper divisors (654136).

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

473984 is an equidigital number, since it uses as much as digits as its factorization.

473984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 32 counting only the distinct ones).

The product of its digits is 24192, while the sum is 35.

The square root of 473984 is about 688.4649591664. The cubic root of 473984 is about 77.9688676985.

It can be divided in two parts, 4 and 73984, that multiplied together give a square (295936 = 544²).

The spelling of 473984 in words is "four hundred seventy-three thousand, nine hundred eighty-four".