409312 has 12 divisors (see below), whose sum is σ = 805896. Its totient is φ = 204640.

The previous prime is 409291. The next prime is 409327. The reversal of 409312 is 213904.

409312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 409312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6364 + ... + 6427.

It is an arithmetic number, because the mean of its divisors is an integer number (67158).

2⁴⁰⁹³¹² is an apocalyptic number.

It is an amenable number.

409312 is a deficient number, since it is larger than the sum of its proper divisors (396584).

409312 is a wasteful number, since it uses less digits than its factorization.

409312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12801 (or 12793 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 409312 is about 639.7749604353. The cubic root of 409312 is about 74.2480112986.

The spelling of 409312 in words is "four hundred nine thousand, three hundred twelve".