409298676948 has 288 divisors, whose sum is σ = 1232530790400. Its totient is φ = 112092595200.

The previous prime is 409298676877. The next prime is 409298676953. The reversal of 409298676948 is 849676892904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 210003478 + ... + 210005426.

It is an arithmetic number, because the mean of its divisors is an integer number (4279620800).

Almost surely, 2^409298676948 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 409298676948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616265395200).

409298676948 is an abundant number, since it is smaller than the sum of its proper divisors (823232113452).

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

409298676948 is a wasteful number, since it uses less digits than its factorization.

409298676948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 409298676948 in words is "four hundred nine billion, two hundred ninety-eight million, six hundred seventy-six thousand, nine hundred forty-eight".