413784979296 has 192 divisors, whose sum is σ = 1178583436800. Its totient is φ = 126359101440.

The previous prime is 413784979277. The next prime is 413784979297. The reversal of 413784979296 is 692979487314.

It is a happy number.

It is a super-2 number, since 2×413784979296² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 413784979296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413784979297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110018056 + ... + 110021816.

It is an arithmetic number, because the mean of its divisors is an integer number (6138455400).

Almost surely, 2^413784979296 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 413784979296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589291718400).

413784979296 is an abundant number, since it is smaller than the sum of its proper divisors (764798457504).

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

413784979296 is a wasteful number, since it uses less digits than its factorization.

413784979296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4429 (or 4421 counting only the distinct ones).

The product of its digits is 164602368, while the sum is 69.

The spelling of 413784979296 in words is "four hundred thirteen billion, seven hundred eighty-four million, nine hundred seventy-nine thousand, two hundred ninety-six".