408904840700928 has 5280 divisors, whose sum is σ = 1668264916792320. Its totient is φ = 98379812044800.

The previous prime is 408904840700899. The next prime is 408904840700933. The reversal of 408904840700928 is 829007048409804.

408904840700928 is a `hidden beast` number, since 4 + 0 + 89 + 0 + 484 + 0 + 70 + 0 + 9 + 2 + 8 = 666.

It is a super-2 number, since 2×408904840700928² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1306405241700 + ... + 1306405242012.

It is an arithmetic number, because the mean of its divisors is an integer number (315959264544).

Almost surely, 2^{408904840700928} is an apocalyptic number.

408904840700928 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 408904840700928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834132458396160).

408904840700928 is an abundant number, since it is smaller than the sum of its proper divisors (1259360076091392).

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

408904840700928 is a wasteful number, since it uses less digits than its factorization.

408904840700928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 408904840700928 in words is "four hundred eight trillion, nine hundred four billion, eight hundred forty million, seven hundred thousand, nine hundred twenty-eight".