408911328 has 240 divisors, whose sum is σ = 1420683264. Its totient is φ = 112907520.

The previous prime is 408911323. The next prime is 408911341. The reversal of 408911328 is 823119804.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 408911292 and 408911301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408911323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 562101 + ... + 562827.

Almost surely, 2^408911328 is an apocalyptic number.

408911328 is a gapful number since it is divisible by the number (48) 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 408911328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710341632).

408911328 is an abundant number, since it is smaller than the sum of its proper divisors (1011771936).

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

408911328 is a wasteful number, since it uses less digits than its factorization.

408911328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 408911328 is about 20221.5560232144. The cubic root of 408911328 is about 742.2377647565.

The spelling of 408911328 in words is "four hundred eight million, nine hundred eleven thousand, three hundred twenty-eight".