409147648 has 162 divisors, whose sum is σ = 1034066754. Its totient is φ = 161021952.

The previous prime is 409147601. The next prime is 409147657. The reversal of 409147648 is 846741904.

It can be written as a sum of positive squares in 3 ways, for example, as 7225344 + 401922304 = 2688^2 + 20048^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2119840 + ... + 2120032.

Almost surely, 2^409147648 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 409147648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517033377).

409147648 is an abundant number, since it is smaller than the sum of its proper divisors (624919106).

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

409147648 is a wasteful number, since it uses less digits than its factorization.

409147648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 409147648 is about 20227.3984486389. The cubic root of 409147648 is about 742.3807230924.

The spelling of 409147648 in words is "four hundred nine million, one hundred forty-seven thousand, six hundred forty-eight".