409878080 has 28 divisors (see below), whose sum is σ = 976022940. Its totient is φ = 163951104.

The previous prime is 409878071. The next prime is 409878113. The reversal of 409878080 is 80878904.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 308915776 + 100962304 = 17576^2 + 10048^2 .

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 3 ways as a sum of consecutive naturals, for example, 640115 + ... + 640754.

Almost surely, 2^409878080 is an apocalyptic number.

409878080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409878080 is an abundant number, since it is smaller than the sum of its proper divisors (566144860).

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

409878080 is a wasteful number, since it uses less digits than its factorization.

409878080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280886 (or 1280876 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 44.

The square root of 409878080 is about 20245.4459076603. The cubic root of 409878080 is about 742.8222395548.

The spelling of 409878080 in words is "four hundred nine million, eight hundred seventy-eight thousand, eighty".