474824 has 32 divisors (see below), whose sum is σ = 1041600. Its totient is φ = 198720.

The previous prime is 474811. The next prime is 474839. The reversal of 474824 is 428474.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

474824 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 3347 + ... + 3485.

It is an arithmetic number, because the mean of its divisors is an integer number (32550).

2⁴⁷⁴⁸²⁴ 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 474824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520800).

474824 is an abundant number, since it is smaller than the sum of its proper divisors (566776).

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

474824 is a wasteful number, since it uses less digits than its factorization.

474824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 209 counting only the distinct ones).

The product of its digits is 7168, while the sum is 29.

The square root of 474824 is about 689.0747419547. The cubic root of 474824 is about 78.0148996301.

The spelling of 474824 in words is "four hundred seventy-four thousand, eight hundred twenty-four".