824412 has 48 divisors (see below), whose sum is σ = 2096640. Its totient is φ = 251328.

The previous prime is 824401. The next prime is 824413. The reversal of 824412 is 214428.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (824413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7953 + ... + 8055.

It is an arithmetic number, because the mean of its divisors is an integer number (43680).

2⁸²⁴⁴¹² 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 824412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048320).

824412 is an abundant number, since it is smaller than the sum of its proper divisors (1272228).

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

824412 is a wasteful number, since it uses less digits than its factorization.

824412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 160 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 824412 is about 907.9713651873. The cubic root of 824412 is about 93.7665855101.

It can be divided in two parts, 8244 and 12, that added together give a triangular number (8256 = T₁₂₈).

The spelling of 824412 in words is "eight hundred twenty-four thousand, four hundred twelve".