473784 has 32 divisors (see below), whose sum is σ = 1248000. Its totient is φ = 149472.

The previous prime is 473761. The next prime is 473789. The reversal of 473784 is 487374.

It is a happy number.

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 473784.

It is not an unprimeable number, because it can be changed into a prime (473789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64 + ... + 975.

It is an arithmetic number, because the mean of its divisors is an integer number (39000).

2⁴⁷³⁷⁸⁴ 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 473784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624000).

473784 is an abundant number, since it is smaller than the sum of its proper divisors (774216).

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

473784 is a wasteful number, since it uses less digits than its factorization.

473784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1063 counting only the distinct ones).

The product of its digits is 18816, while the sum is 33.

The square root of 473784 is about 688.3196931659. The cubic root of 473784 is about 77.9578997000.

The spelling of 473784 in words is "four hundred seventy-three thousand, seven hundred eighty-four".