409135680 has 84 divisors (see below), whose sum is σ = 1407266172. Its totient is φ = 109102080.

The previous prime is 409135667. The next prime is 409135691. The reversal of 409135680 is 86531904.

409135680 is a `hidden beast` number, since 4 + 0 + 91 + 3 + 568 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 232989696 + 176145984 = 15264^2 + 13272^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 68151 + ... + 73910.

Almost surely, 2^409135680 is an apocalyptic number.

409135680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409135680 is an abundant number, since it is smaller than the sum of its proper divisors (998130492).

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

409135680 is a wasteful number, since it uses less digits than its factorization.

409135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142084 (or 142071 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 409135680 is about 20227.1026101120. The cubic root of 409135680 is about 742.3734845489.

The spelling of 409135680 in words is "four hundred nine million, one hundred thirty-five thousand, six hundred eighty".