409424 has 10 divisors (see below), whose sum is σ = 793290. Its totient is φ = 204704.

The previous prime is 409397. The next prime is 409429. The reversal of 409424 is 424904.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 399424 + 10000 = 632^2 + 100^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 409424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12779 + ... + 12810.

It is an arithmetic number, because the mean of its divisors is an integer number (79329).

2⁴⁰⁹⁴²⁴ is an apocalyptic number.

It is an amenable number.

409424 is a deficient number, since it is larger than the sum of its proper divisors (383866).

409424 is a wasteful number, since it uses less digits than its factorization.

409424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25597 (or 25591 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 409424 is about 639.8624852263. The cubic root of 409424 is about 74.2547828395.

The spelling of 409424 in words is "four hundred nine thousand, four hundred twenty-four".