405580840 has 96 divisors (see below), whose sum is σ = 1117519200. Its totient is φ = 131725440.

The previous prime is 405580837. The next prime is 405580841. The reversal of 405580840 is 48085504.

It is a junction number, because it is equal to n+sod(n) for n = 405580796 and 405580805.

It is not an unprimeable number, because it can be changed into a prime (405580841) 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, 31795 + ... + 42685.

It is an arithmetic number, because the mean of its divisors is an integer number (11640825).

Almost surely, 2^405580840 is an apocalyptic number.

405580840 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 405580840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558759600).

405580840 is an abundant number, since it is smaller than the sum of its proper divisors (711938360).

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

405580840 is a wasteful number, since it uses less digits than its factorization.

405580840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10935 (or 10924 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

The square root of 405580840 is about 20139.0377128601. The cubic root of 405580840 is about 740.2171507833.

The spelling of 405580840 in words is "four hundred five million, five hundred eighty thousand, eight hundred forty".