409878993 has 24 divisors (see below), whose sum is σ = 597992544. Its totient is φ = 248853120.

The previous prime is 409878991. The next prime is 409879037. The reversal of 409878993 is 399878904.

It is not a de Polignac number, because 409878993 - 2¹ = 409878991 is a prime.

It is not an unprimeable number, because it can be changed into a prime (409878991) by changing a digit.

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, 44830 + ... + 53192.

It is an arithmetic number, because the mean of its divisors is an integer number (24916356).

Almost surely, 2^409878993 is an apocalyptic number.

It is an amenable number.

409878993 is a deficient number, since it is larger than the sum of its proper divisors (188113551).

409878993 is a wasteful number, since it uses less digits than its factorization.

409878993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8445 (or 8414 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The square root of 409878993 is about 20245.4684559286. The cubic root of 409878993 is about 742.8227910978.

It can be divided in two parts, 409878 and 993, that added together give a triangular number (410871 = T₉₀₆).

The spelling of 409878993 in words is "four hundred nine million, eight hundred seventy-eight thousand, nine hundred ninety-three".