408859840 has 56 divisors (see below), whose sum is σ = 982778832. Its totient is φ = 162001920.

The previous prime is 408859813. The next prime is 408859873. The reversal of 408859840 is 48958804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28270 + ... + 40210.

It is an arithmetic number, because the mean of its divisors is an integer number (17549622).

Almost surely, 2^408859840 is an apocalyptic number.

408859840 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 408859840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491389416).

408859840 is an abundant number, since it is smaller than the sum of its proper divisors (573918992).

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

408859840 is a wasteful number, since it uses less digits than its factorization.

408859840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12065 (or 12055 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 46.

The square root of 408859840 is about 20220.2828862506. The cubic root of 408859840 is about 742.2066105351.

The spelling of 408859840 in words is "four hundred eight million, eight hundred fifty-nine thousand, eight hundred forty".