408009320 has 32 divisors (see below), whose sum is σ = 919510920. Its totient is φ = 162938880.

The previous prime is 408009319. The next prime is 408009331. The reversal of 408009320 is 23900804.

It can be written as a sum of positive squares in 4 ways, for example, as 406506244 + 1503076 = 20162^2 + 1226^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 408009320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17684 + ... + 33596.

Almost surely, 2^408009320 is an apocalyptic number.

408009320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408009320 is an abundant number, since it is smaller than the sum of its proper divisors (511501600).

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

408009320 is a wasteful number, since it uses less digits than its factorization.

408009320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16565 (or 16561 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 408009320 is about 20199.2405797842. The cubic root of 408009320 is about 741.6916012883.

The spelling of 408009320 in words is "four hundred eight million, nine thousand, three hundred twenty".