408616912 has 80 divisors (see below), whose sum is σ = 883943424. Its totient is φ = 181440000.

The previous prime is 408616861. The next prime is 408616933. The reversal of 408616912 is 219616804.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2257462 + ... + 2257642.

Almost surely, 2^408616912 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 408616912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441971712).

408616912 is an abundant number, since it is smaller than the sum of its proper divisors (475326512).

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

408616912 is a wasteful number, since it uses less digits than its factorization.

408616912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 408616912 is about 20214.2749560799. The cubic root of 408616912 is about 742.0595850175.

The spelling of 408616912 in words is "four hundred eight million, six hundred sixteen thousand, nine hundred twelve".