413068320 has 288 divisors, whose sum is σ = 1650160512. Its totient is φ = 92123136.

The previous prime is 413068309. The next prime is 413068343. The reversal of 413068320 is 23860314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 432964 + ... + 433916.

It is an arithmetic number, because the mean of its divisors is an integer number (5729724).

Almost surely, 2^413068320 is an apocalyptic number.

413068320 is a gapful number since it is divisible by the number (40) 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 413068320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825080256).

413068320 is an abundant number, since it is smaller than the sum of its proper divisors (1237092192).

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

413068320 is a wasteful number, since it uses less digits than its factorization.

413068320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 413068320 is about 20324.0822671037. The cubic root of 413068320 is about 744.7444854428.

The spelling of 413068320 in words is "four hundred thirteen million, sixty-eight thousand, three hundred twenty".