409824 has 36 divisors (see below), whose sum is σ = 1166256. Its totient is φ = 136512.

The previous prime is 409823. The next prime is 409831. The reversal of 409824 is 428904.

409824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409823) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 424 + ... + 999.

It is an arithmetic number, because the mean of its divisors is an integer number (32396).

2⁴⁰⁹⁸²⁴ is an apocalyptic number.

It is an amenable number.

409824 is an abundant number, since it is smaller than the sum of its proper divisors (756432).

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

409824 is a wasteful number, since it uses less digits than its factorization.

409824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 409824 is about 640.1749760808. The cubic root of 409824 is about 74.2789568381.

The spelling of 409824 in words is "four hundred nine thousand, eight hundred twenty-four".