408406648 has 64 divisors (see below), whose sum is σ = 858654720. Its totient is φ = 180835200.

The previous prime is 408406643. The next prime is 408406693. The reversal of 408406648 is 846604804.

It is a self number, because there is not a number n which added to its sum of digits gives 408406648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408406643) 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, 421861 + ... + 422827.

It is an arithmetic number, because the mean of its divisors is an integer number (13416480).

Almost surely, 2^408406648 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 408406648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429327360).

408406648 is an abundant number, since it is smaller than the sum of its proper divisors (450248072).

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

408406648 is a wasteful number, since it uses less digits than its factorization.

408406648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 408406648 is about 20209.0734077543. The cubic root of 408406648 is about 741.9322814376.

The spelling of 408406648 in words is "four hundred eight million, four hundred six thousand, six hundred forty-eight".