408664768 has 112 divisors (see below), whose sum is σ = 923361120. Its totient is φ = 178274304.

The previous prime is 408664747. The next prime is 408664769. The reversal of 408664768 is 867466804.

It is not an unprimeable number, because it can be changed into a prime (408664769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1095430 + ... + 1095802.

Almost surely, 2^408664768 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 408664768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461680560).

408664768 is an abundant number, since it is smaller than the sum of its proper divisors (514696352).

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

408664768 is a wasteful number, since it uses less digits than its factorization.

408664768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

The square root of 408664768 is about 20215.4586393680. The cubic root of 408664768 is about 742.0885531587.

The spelling of 408664768 in words is "four hundred eight million, six hundred sixty-four thousand, seven hundred sixty-eight".