408086406 has 72 divisors (see below), whose sum is σ = 1107694224. Its totient is φ = 107624160.

The previous prime is 408086381. The next prime is 408086417. The reversal of 408086406 is 604680804.

408086406 is a `hidden beast` number, since 4 + 0 + 8 + 0 + 8 + 640 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6330 + ... + 29261.

It is an arithmetic number, because the mean of its divisors is an integer number (15384642).

Almost surely, 2^408086406 is an apocalyptic number.

408086406 is an abundant number, since it is smaller than the sum of its proper divisors (699607818).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

408086406 is a wasteful number, since it uses less digits than its factorization.

408086406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35626 (or 35616 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 408086406 is about 20201.1486307091. The cubic root of 408086406 is about 741.7383080959.

The spelling of 408086406 in words is "four hundred eight million, eighty-six thousand, four hundred six".