473824 has 48 divisors (see below), whose sum is σ = 1079568. Its totient is φ = 202752.

The previous prime is 473789. The next prime is 473833. The reversal of 473824 is 428374.

It is a junction number, because it is equal to n+sod(n) for n = 473792 and 473801.

It is a congruent number.

It is an unprimeable number.

473824 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 7 ways as a sum of consecutive naturals, for example, 7039 + ... + 7105.

It is an arithmetic number, because the mean of its divisors is an integer number (22491).

2⁴⁷³⁸²⁴ 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 473824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539784).

473824 is an abundant number, since it is smaller than the sum of its proper divisors (605744).

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

473824 is a wasteful number, since it uses less digits than its factorization.

473824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 99 counting only the distinct ones).

The product of its digits is 5376, while the sum is 28.

The square root of 473824 is about 688.3487488185. The cubic root of 473824 is about 77.9600935466.

It can be divided in two parts, 4 and 73824, that multiplied together give a triangular number (295296 = T₇₆₈).

The spelling of 473824 in words is "four hundred seventy-three thousand, eight hundred twenty-four".