472824 has 64 divisors (see below), whose sum is σ = 1440000. Its totient is φ = 142560.

The previous prime is 472817. The next prime is 472831. The reversal of 472824 is 428274.

It is an interprime number because it is at equal distance from previous prime (472817) and next prime (472831).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 472824.

It is an unprimeable number.

472824 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 15 ways as a sum of consecutive naturals, for example, 2277 + ... + 2475.

It is an arithmetic number, because the mean of its divisors is an integer number (22500).

2⁴⁷²⁸²⁴ is an apocalyptic number.

472824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720000).

472824 is an abundant number, since it is smaller than the sum of its proper divisors (967176).

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

472824 is a wasteful number, since it uses less digits than its factorization.

472824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 215 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 472824 is about 687.6219891772. The cubic root of 472824 is about 77.9052102970.

It can be divided in two parts, 472 and 824, that added together give a 4-th power (1296 = 6⁴).

The spelling of 472824 in words is "four hundred seventy-two thousand, eight hundred twenty-four".