408006560 has 144 divisors (see below), whose sum is σ = 1062512640. Its totient is φ = 147962880.

The previous prime is 408006523. The next prime is 408006601. The reversal of 408006560 is 65600804.

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 23 ways as a sum of consecutive naturals, for example, 2136065 + ... + 2136255.

It is an arithmetic number, because the mean of its divisors is an integer number (7378560).

Almost surely, 2^408006560 is an apocalyptic number.

408006560 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 408006560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531256320).

408006560 is an abundant number, since it is smaller than the sum of its proper divisors (654506080).

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

408006560 is a wasteful number, since it uses less digits than its factorization.

408006560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 408006560 is about 20199.1722602685. The cubic root of 408006560 is about 741.6899288808.

The spelling of 408006560 in words is "four hundred eight million, six thousand, five hundred sixty".