408024 has 32 divisors (see below), whose sum is σ = 1134000. Its totient is φ = 135936.

The previous prime is 408019. The next prime is 408041. The reversal of 408024 is 420804.

Added to its reverse (420804) it gives a triangular number (828828 = T₁₂₈₇).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 407988 and 408006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 729 + ... + 1160.

2⁴⁰⁸⁰²⁴ is an apocalyptic number.

It is an amenable number.

408024 is an abundant number, since it is smaller than the sum of its proper divisors (725976).

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

408024 is a wasteful number, since it uses less digits than its factorization.

408024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 408024 is about 638.7675633593. The cubic root of 408024 is about 74.1700496430.

Adding to 408024 its reverse (420804), we get a palindrome (828828).

The spelling of 408024 in words is "four hundred eight thousand, twenty-four".