408396384 has 192 divisors, whose sum is σ = 1315802880. Its totient is φ = 122204160.

The previous prime is 408396379. The next prime is 408396409. The reversal of 408396384 is 483693804.

408396384 is a `hidden beast` number, since 4 + 0 + 8 + 3 + 9 + 638 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 921667 + ... + 922109.

It is an arithmetic number, because the mean of its divisors is an integer number (6853140).

Almost surely, 2^408396384 is an apocalyptic number.

408396384 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408396384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657901440).

408396384 is an abundant number, since it is smaller than the sum of its proper divisors (907406496).

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

408396384 is a wasteful number, since it uses less digits than its factorization.

408396384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 408396384 is about 20208.8194608196. The cubic root of 408396384 is about 741.9260660175.

The spelling of 408396384 in words is "four hundred eight million, three hundred ninety-six thousand, three hundred eighty-four".