409376 has 24 divisors (see below), whose sum is σ = 879984. Its totient is φ = 185920.

The previous prime is 409369. The next prime is 409379. The reversal of 409376 is 673904.

It is an Ulam number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (409379) by changing a digit.

409376 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 230 + ... + 933.

It is an arithmetic number, because the mean of its divisors is an integer number (36666).

2⁴⁰⁹³⁷⁶ is an apocalyptic number.

It is an amenable number.

409376 is an abundant number, since it is smaller than the sum of its proper divisors (470608).

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

409376 is a wasteful number, since it uses less digits than its factorization.

409376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 409376 is about 639.8249760677. The cubic root of 409376 is about 74.2518809018.

The spelling of 409376 in words is "four hundred nine thousand, three hundred seventy-six".