408112768 has 96 divisors (see below), whose sum is σ = 976752000. Its totient is φ = 169182720.

The previous prime is 408112751. The next prime is 408112787. The reversal of 408112768 is 867211804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193383 + ... + 195481.

It is an arithmetic number, because the mean of its divisors is an integer number (10174500).

Almost surely, 2^408112768 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 408112768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488376000).

408112768 is an abundant number, since it is smaller than the sum of its proper divisors (568639232).

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

408112768 is a wasteful number, since it uses less digits than its factorization.

408112768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 408112768 is about 20201.8011078220. The cubic root of 408112768 is about 741.7542796189.

The spelling of 408112768 in words is "four hundred eight million, one hundred twelve thousand, seven hundred sixty-eight".