408152016 has 60 divisors (see below), whose sum is σ = 1146583360. Its totient is φ = 135535680.

The previous prime is 408151987. The next prime is 408152027. The reversal of 408152016 is 610251804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33795 + ... + 44253.

Almost surely, 2^408152016 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 408152016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573291680).

408152016 is an abundant number, since it is smaller than the sum of its proper divisors (738431344).

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

408152016 is a wasteful number, since it uses less digits than its factorization.

408152016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10744 (or 10735 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 408152016 is about 20202.7724830034. The cubic root of 408152016 is about 741.7780569022.

The spelling of 408152016 in words is "four hundred eight million, one hundred fifty-two thousand, sixteen".