409924 has 6 divisors (see below), whose sum is σ = 717374. Its totient is φ = 204960.

The previous prime is 409909. The next prime is 409933. The reversal of 409924 is 429904.

It can be written as a sum of positive squares in only one way, i.e., 409600 + 324 = 640^2 + 18^2 .

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 409892 and 409901.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51237 + ... + 51244.

2⁴⁰⁹⁹²⁴ is an apocalyptic number.

It is an amenable number.

409924 is a deficient number, since it is larger than the sum of its proper divisors (307450).

409924 is a wasteful number, since it uses less digits than its factorization.

409924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102485 (or 102483 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 409924 is about 640.2530749633. The cubic root of 409924 is about 74.2849978798.

The spelling of 409924 in words is "four hundred nine thousand, nine hundred twenty-four".