409770648 has 96 divisors (see below), whose sum is σ = 1309301760. Its totient is φ = 113296320.

The previous prime is 409770637. The next prime is 409770653. The reversal of 409770648 is 846077904.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2511 + ... + 28737.

It is an arithmetic number, because the mean of its divisors is an integer number (13638560).

Almost surely, 2^409770648 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 409770648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654650880).

409770648 is an abundant number, since it is smaller than the sum of its proper divisors (899531112).

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

409770648 is a wasteful number, since it uses less digits than its factorization.

409770648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26277 (or 26270 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 409770648 is about 20242.7924951080. The cubic root of 409770648 is about 742.7573341955.

The spelling of 409770648 in words is "four hundred nine million, seven hundred seventy thousand, six hundred forty-eight".