824406 has 16 divisors (see below), whose sum is σ = 1798848. Its totient is φ = 249800.

The previous prime is 824401. The next prime is 824413. The reversal of 824406 is 604428.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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 824406.

It is not an unprimeable number, because it can be changed into a prime (824401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6180 + ... + 6311.

It is an arithmetic number, because the mean of its divisors is an integer number (112428).

2⁸²⁴⁴⁰⁶ is an apocalyptic number.

824406 is an abundant number, since it is smaller than the sum of its proper divisors (974442).

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

824406 is a wasteful number, since it uses less digits than its factorization.

824406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12507.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 824406 is about 907.9680611123. The cubic root of 824406 is about 93.7663580345.

The spelling of 824406 in words is "eight hundred twenty-four thousand, four hundred six".