409408 has 14 divisors (see below), whose sum is σ = 812546. Its totient is φ = 204672.

The previous prime is 409397. The next prime is 409429. The reversal of 409408 is 804904.

It can be written as a sum of positive squares in only one way, i.e., 222784 + 186624 = 472^2 + 432^2 .

It is a super-2 number, since 2×409408² = 335229820928, which contains 22 as substring.

It is a plaindrome in base 13.

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, 3135 + ... + 3262.

It is an arithmetic number, because the mean of its divisors is an integer number (58039).

2⁴⁰⁹⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

409408 is a deficient number, since it is larger than the sum of its proper divisors (403138).

409408 is an equidigital number, since it uses as much as digits as its factorization.

409408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6409 (or 6399 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 409408 is about 639.8499824178. The cubic root of 409408 is about 74.2538155521.

The spelling of 409408 in words is "four hundred nine thousand, four hundred eight".