409878290448 has 420 divisors, whose sum is σ = 1324893066000. Its totient is φ = 122674020480.

The previous prime is 409878290431. The next prime is 409878290453. The reversal of 409878290448 is 844092878904.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 117139803 + ... + 117143301.

It is an arithmetic number, because the mean of its divisors is an integer number (3154507300).

Almost surely, 2^409878290448 is an apocalyptic number.

409878290448 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 409878290448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662446533000).

409878290448 is an abundant number, since it is smaller than the sum of its proper divisors (915014775552).

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

409878290448 is a wasteful number, since it uses less digits than its factorization.

409878290448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3630 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 409878290448 in words is "four hundred nine billion, eight hundred seventy-eight million, two hundred ninety thousand, four hundred forty-eight".