409079205648 has 120 divisors (see below), whose sum is σ = 1182275877120. Its totient is φ = 131906154240.

The previous prime is 409079205599. The next prime is 409079205697. The reversal of 409079205648 is 846502970904.

409079205648 is a `hidden beast` number, since 4 + 0 + 9 + 0 + 79 + 2 + 0 + 564 + 8 = 666.

It is a Cunningham number, because it is equal to 639593²-1.

It is an interprime number because it is at equal distance from previous prime (409079205599) and next prime (409079205697).

It is a junction number, because it is equal to n+sod(n) for n = 409079205594 and 409079205603.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11494890 + ... + 11530422.

It is an arithmetic number, because the mean of its divisors is an integer number (9852298976).

Almost surely, 2^409079205648 is an apocalyptic number.

409079205648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409079205648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591137938560).

409079205648 is an abundant number, since it is smaller than the sum of its proper divisors (773196671472).

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

409079205648 is a wasteful number, since it uses less digits than its factorization.

409079205648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38157 (or 38148 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 409079205648 in words is "four hundred nine billion, seventy-nine million, two hundred five thousand, six hundred forty-eight".