405338502244 has 81 divisors (see below), whose sum is σ = 786304048971. Its totient is φ = 182747460480.

The previous prime is 405338502227. The next prime is 405338502251. The reversal of 405338502244 is 442205833504.

It is a happy number.

The square root of 405338502244 is 636662.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 133363736100 + 271974766144 = 365190^2 + 521512^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 405338502197 and 405338502206.

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 26 ways as a sum of consecutive naturals, for example, 778000704 + ... + 778001224.

Almost surely, 2^405338502244 is an apocalyptic number.

405338502244 is the 636662-nd square number.

It is an amenable number.

405338502244 is a deficient number, since it is larger than the sum of its proper divisors (380965546727).

405338502244 is an equidigital number, since it uses as much as digits as its factorization.

405338502244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

The spelling of 405338502244 in words is "four hundred five billion, three hundred thirty-eight million, five hundred two thousand, two hundred forty-four".