406304864784 has 300 divisors, whose sum is σ = 1428581470316. Its totient is φ = 107156141568.

The previous prime is 406304864767. The next prime is 406304864843. The reversal of 406304864784 is 487468403604.

406304864784 is a `hidden beast` number, since 40 + 6 + 3 + 0 + 486 + 47 + 84 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20753283600 + 385551581184 = 144060^2 + 620928^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 406304864784.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 4449474 + ... + 4539870.

Almost surely, 2^406304864784 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 406304864784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714290735158).

406304864784 is an abundant number, since it is smaller than the sum of its proper divisors (1022276605532).

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

406304864784 is a wasteful number, since it uses less digits than its factorization.

406304864784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90452 (or 90422 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 406304864784 in words is "four hundred six billion, three hundred four million, eight hundred sixty-four thousand, seven hundred eighty-four".