417494315044 has 27 divisors (see below), whose sum is σ = 733952306451. Its totient is φ = 207797980800.

The previous prime is 417494315033. The next prime is 417494315047. The reversal of 417494315044 is 440513494714.

The square root of 417494315044 is 646138.

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 380982748644 + 36511566400 = 617238^2 + 191080^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 417494314985 and 417494315003.

It is not an unprimeable number, because it can be changed into a prime (417494315047) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 347621644 + ... + 347622844.

Almost surely, 2^417494315044 is an apocalyptic number.

417494315044 is the 646138-th square number.

It is an amenable number.

417494315044 is a deficient number, since it is larger than the sum of its proper divisors (316457991407).

417494315044 is an frugal number, since it uses more digits than its factorization.

417494315044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 417494315044 in words is "four hundred seventeen billion, four hundred ninety-four million, three hundred fifteen thousand, forty-four".