408992 has 12 divisors (see below), whose sum is σ = 805266. Its totient is φ = 204480.

The previous prime is 408979. The next prime is 408997. The reversal of 408992 is 299804.

408992 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in only one way, i.e., 309136 + 99856 = 556^2 + 316^2 .

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 12781 = 408992 / (4 + 0 + 8 + 9 + 9 + 2).

It is not an unprimeable number, because it can be changed into a prime (408997) by changing a digit.

408992 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 as a sum of consecutive naturals, namely, 6359 + ... + 6422.

2⁴⁰⁸⁹⁹² is an apocalyptic number.

It is an amenable number.

408992 is a deficient number, since it is larger than the sum of its proper divisors (396274).

408992 is a wasteful number, since it uses less digits than its factorization.

408992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12791 (or 12783 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 408992 is about 639.5248235995. The cubic root of 408992 is about 74.2286572296.

The spelling of 408992 in words is "four hundred eight thousand, nine hundred ninety-two".