408338496 has 140 divisors (see below), whose sum is σ = 1219279248. Its totient is φ = 135122688.

The previous prime is 408338471. The next prime is 408338509. The reversal of 408338496 is 694833804.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1176595 + ... + 1176941.

Almost surely, 2^408338496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408338496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609639624).

408338496 is an abundant number, since it is smaller than the sum of its proper divisors (810940752).

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

408338496 is a wasteful number, since it uses less digits than its factorization.

408338496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 408338496 is about 20207.3871641041. The cubic root of 408338496 is about 741.8910096791.

The spelling of 408338496 in words is "four hundred eight million, three hundred thirty-eight thousand, four hundred ninety-six".