7408 has 10 divisors (see below), whose sum is σ = 14384. Its totient is φ = 3696.

The previous prime is 7393. The next prime is 7411. The reversal of 7408 is 8047.

It is a happy number.

It is a plaindrome in base 13 and base 15.

It is a zygodrome in base 2 and base 15.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 216 + ... + 247.

2⁷⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

7408 is a deficient number, since it is larger than the sum of its proper divisors (6976).

7408 is a wasteful number, since it uses less digits than its factorization.

7408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 7408 is about 86.0697391654. The cubic root of 7408 is about 19.4939713996.

The spelling of 7408 in words is "seven thousand, four hundred eight".