413808384 has 216 divisors, whose sum is σ = 1247256976. Its totient is φ = 121651200.

The previous prime is 413808383. The next prime is 413808397. The reversal of 413808384 is 483808314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413808383) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5668572 + ... + 5668644.

Almost surely, 2^413808384 is an apocalyptic number.

413808384 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 413808384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623628488).

413808384 is an abundant number, since it is smaller than the sum of its proper divisors (833448592).

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

413808384 is a wasteful number, since it uses less digits than its factorization.

413808384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 413808384 is about 20342.2806980928. The cubic root of 413808384 is about 745.1889879837.

The spelling of 413808384 in words is "four hundred thirteen million, eight hundred eight thousand, three hundred eighty-four".