40408 has 8 divisors (see below), whose sum is σ = 75780. Its totient is φ = 20200.

The previous prime is 40387. The next prime is 40423. The reversal of 40408 is 80404.

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

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 40391 and 40400.

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, 2518 + ... + 2533.

2⁴⁰⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

40408 is a deficient number, since it is larger than the sum of its proper divisors (35372).

40408 is a wasteful number, since it uses less digits than its factorization.

40408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5057 (or 5053 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 40408 is about 201.0174121811. The cubic root of 40408 is about 34.3154041766.

The spelling of 40408 in words is "forty thousand, four hundred eight".