824472 has 64 divisors (see below), whose sum is σ = 2505600. Its totient is φ = 249120.

The previous prime is 824459. The next prime is 824477. The reversal of 824472 is 274428.

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

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (824477) by changing a digit.

824472 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, 2203 + ... + 2549.

It is an arithmetic number, because the mean of its divisors is an integer number (39150).

2⁸²⁴⁴⁷² 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 824472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252800).

824472 is an abundant number, since it is smaller than the sum of its proper divisors (1681128).

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

824472 is a wasteful number, since it uses less digits than its factorization.

824472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 363 counting only the distinct ones).

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

The square root of 824472 is about 908.0044052757. The cubic root of 824472 is about 93.7688602055.

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

The spelling of 824472 in words is "eight hundred twenty-four thousand, four hundred seventy-two".