413606780928 has 448 divisors, whose sum is σ = 1347547622400. Its totient is φ = 124331950080.

The previous prime is 413606780843. The next prime is 413606780929. The reversal of 413606780928 is 829087606314.

413606780928 is a `hidden beast` number, since 4 + 1 + 3 + 606 + 7 + 8 + 0 + 9 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (413606780929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 338189725 + ... + 338190947.

It is an arithmetic number, because the mean of its divisors is an integer number (3007918800).

Almost surely, 2^413606780928 is an apocalyptic number.

413606780928 is a gapful number since it is divisible by the number (48) 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 413606780928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673773811200).

413606780928 is an abundant number, since it is smaller than the sum of its proper divisors (933940841472).

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

413606780928 is a wasteful number, since it uses less digits than its factorization.

413606780928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 413606780928 in words is "four hundred thirteen billion, six hundred six million, seven hundred eighty thousand, nine hundred twenty-eight".