407408 has 10 divisors (see below), whose sum is σ = 789384. Its totient is φ = 203696.

The previous prime is 407401. The next prime is 407437. The reversal of 407408 is 804704.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 407408.

It is not an unprimeable number, because it can be changed into a prime (407401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12716 + ... + 12747.

2⁴⁰⁷⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

407408 is a deficient number, since it is larger than the sum of its proper divisors (381976).

407408 is a wasteful number, since it uses less digits than its factorization.

407408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25471 (or 25465 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 407408 is about 638.2852027111. The cubic root of 407408 is about 74.1327056287.

The spelling of 407408 in words is "four hundred seven thousand, four hundred eight".