409667680 has 48 divisors (see below), whose sum is σ = 984266640. Its totient is φ = 161085952.

The previous prime is 409667669. The next prime is 409667701. The reversal of 409667680 is 86766904.

It is a self number, because there is not a number n which added to its sum of digits gives 409667680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12259 + ... + 31138.

It is an arithmetic number, because the mean of its divisors is an integer number (20505555).

Almost surely, 2^409667680 is an apocalyptic number.

409667680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409667680 is an abundant number, since it is smaller than the sum of its proper divisors (574598960).

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

409667680 is a wasteful number, since it uses less digits than its factorization.

409667680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43471 (or 43463 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The square root of 409667680 is about 20240.2490103259. The cubic root of 409667680 is about 742.6951151269.

The spelling of 409667680 in words is "four hundred nine million, six hundred sixty-seven thousand, six hundred eighty".