408824 has 16 divisors (see below), whose sum is σ = 825720. Its totient is φ = 188640.

The previous prime is 408817. The next prime is 408841. The reversal of 408824 is 428804.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 408793 and 408802.

It is a congruent number.

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 1862 + ... + 2069.

2⁴⁰⁸⁸²⁴ is an apocalyptic number.

It is an amenable number.

408824 is an abundant number, since it is smaller than the sum of its proper divisors (416896).

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

408824 is a wasteful number, since it uses less digits than its factorization.

408824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3950 (or 3946 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 408824 is about 639.3934625878. The cubic root of 408824 is about 74.2184923020.

The spelling of 408824 in words is "four hundred eight thousand, eight hundred twenty-four".