408080440 has 32 divisors (see below), whose sum is σ = 921106080. Its totient is φ = 162712192.

The previous prime is 408080419. The next prime is 408080459. The reversal of 408080440 is 44080804.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 408080399 and 408080408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3412 + ... + 28771.

It is an arithmetic number, because the mean of its divisors is an integer number (28784565).

Almost surely, 2^408080440 is an apocalyptic number.

408080440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408080440 is an abundant number, since it is smaller than the sum of its proper divisors (513025640).

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

408080440 is a wasteful number, since it uses less digits than its factorization.

408080440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32511 (or 32507 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 408080440 is about 20201.0009652987. Note that the first 3 decimals coincide. The cubic root of 408080440 is about 741.7346934755.

The spelling of 408080440 in words is "four hundred eight million, eighty thousand, four hundred forty".