409619616 has 216 divisors, whose sum is σ = 1315972224. Its totient is φ = 111121920.

The previous prime is 409619599. The next prime is 409619621. The reversal of 409619616 is 616916904.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 35 ways as a sum of consecutive naturals, for example, 7728646 + ... + 7728698.

It is an arithmetic number, because the mean of its divisors is an integer number (6092464).

Almost surely, 2^409619616 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 409619616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657986112).

409619616 is an abundant number, since it is smaller than the sum of its proper divisors (906352608).

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

409619616 is a wasteful number, since it uses less digits than its factorization.

409619616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 409619616 is about 20239.0616383270. The cubic root of 409619616 is about 742.6660685803. Note that the first 3 decimals are identical.

The spelling of 409619616 in words is "four hundred nine million, six hundred nineteen thousand, six hundred sixteen".