408009408 has 56 divisors (see below), whose sum is σ = 1092573888. Its totient is φ = 134359296.

The previous prime is 408009379. The next prime is 408009463. The reversal of 408009408 is 804900804.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3135 + ... + 28737.

It is an arithmetic number, because the mean of its divisors is an integer number (19510248).

Almost surely, 2^408009408 is an apocalyptic number.

408009408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408009408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546286944).

408009408 is an abundant number, since it is smaller than the sum of its proper divisors (684564480).

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

408009408 is a wasteful number, since it uses less digits than its factorization.

408009408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25701 (or 25691 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 408009408 is about 20199.2427580838. The cubic root of 408009408 is about 741.6916546113.

The spelling of 408009408 in words is "four hundred eight million, nine thousand, four hundred eight".