413260246080 has 1792 divisors, whose sum is σ = 1793289093120. Its totient is φ = 88385126400.

The previous prime is 413260246067. The next prime is 413260246093. The reversal of 413260246080 is 80642062314.

413260246080 is a `hidden beast` number, since 4 + 1 + 3 + 2 + 602 + 46 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (413260246067) and next prime (413260246093).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1853184849 + ... + 1853185071.

It is an arithmetic number, because the mean of its divisors is an integer number (1000719360).

Almost surely, 2^413260246080 is an apocalyptic number.

413260246080 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 413260246080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896644546560).

413260246080 is an abundant number, since it is smaller than the sum of its proper divisors (1380028847040).

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

413260246080 is a wasteful number, since it uses less digits than its factorization.

413260246080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 413260246080 in words is "four hundred thirteen billion, two hundred sixty million, two hundred forty-six thousand, eighty".