408288928320 has 896 divisors, whose sum is σ = 1802014663680. Its totient is φ = 84722319360.

The previous prime is 408288928291. The next prime is 408288928391. The reversal of 408288928320 is 23829882804.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47956384 + ... + 47964896.

It is an arithmetic number, because the mean of its divisors is an integer number (2011177080).

Almost surely, 2^408288928320 is an apocalyptic number.

408288928320 is a gapful number since it is divisible by the number (40) 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 408288928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901007331840).

408288928320 is an abundant number, since it is smaller than the sum of its proper divisors (1393725735360).

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

408288928320 is a wasteful number, since it uses less digits than its factorization.

408288928320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8620 (or 8604 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 408288928320 in words is "four hundred eight billion, two hundred eighty-eight million, nine hundred twenty-eight thousand, three hundred twenty".