409163540 has 24 divisors (see below), whose sum is σ = 871017000. Its totient is φ = 161422848.

The previous prime is 409163519. The next prime is 409163543. The reversal of 409163540 is 45361904.

It can be written as a sum of positive squares in 4 ways, for example, as 137968516 + 271195024 = 11746^2 + 16468^2 .

It is a junction number, because it is equal to n+sod(n) for n = 409163497 and 409163506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409163543) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 138665 + ... + 141584.

It is an arithmetic number, because the mean of its divisors is an integer number (36292375).

Almost surely, 2^409163540 is an apocalyptic number.

It is an amenable number.

409163540 is an abundant number, since it is smaller than the sum of its proper divisors (461853460).

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

409163540 is a wasteful number, since it uses less digits than its factorization.

409163540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280331 (or 280329 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 409163540 is about 20227.7912783378. The cubic root of 409163540 is about 742.3903347503.

The spelling of 409163540 in words is "four hundred nine million, one hundred sixty-three thousand, five hundred forty".