10408 has 8 divisors (see below), whose sum is σ = 19530. Its totient is φ = 5200.

The previous prime is 10399. The next prime is 10427. The reversal of 10408 is 80401.

It can be written as a sum of positive squares in only one way, i.e., 10404 + 4 = 102^2 + 2^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a fibodiv number, since the Fibonacci-like sequence with seeds 104 and 8 contains 10408 itself.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 643 + ... + 658.

2¹⁰⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

10408 is a deficient number, since it is larger than the sum of its proper divisors (9122).

10408 is a wasteful number, since it uses less digits than its factorization.

10408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 10408 is about 102.0196059589. The cubic root of 10408 is about 21.8334531133.

Adding to 10408 its product of nonzero digits (32), we get a triangular number (10440 = T₁₄₄).

Adding to 10408 its reverse (80401), we get a palindrome (90809).

The spelling of 10408 in words is "ten thousand, four hundred eight".