409660416 has 220 divisors, whose sum is σ = 1337509800. Its totient is φ = 123863040.

The previous prime is 409660403. The next prime is 409660421. The reversal of 409660416 is 614066904.

409660416 is a `hidden beast` number, since 40 + 9 + 6 + 604 + 1 + 6 = 666.

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 19 ways as a sum of consecutive naturals, for example, 912160 + ... + 912608.

It is an arithmetic number, because the mean of its divisors is an integer number (6079590).

Almost surely, 2^409660416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409660416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668754900).

409660416 is an abundant number, since it is smaller than the sum of its proper divisors (927849384).

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

409660416 is a wasteful number, since it uses less digits than its factorization.

409660416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 409660416 is about 20240.0695650978. The cubic root of 409660416 is about 742.6907254151.

The spelling of 409660416 in words is "four hundred nine million, six hundred sixty thousand, four hundred sixteen".