497047560256 has 63 divisors (see below), whose sum is σ = 1068194033661. Its totient is φ = 229372725504.

The previous prime is 497047560227. The next prime is 497047560281. The reversal of 497047560256 is 652065740794.

The square root of 497047560256 is 705016.

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

It can be written as a sum of positive squares in only one way, i.e., 73527745600 + 423519814656 = 271160^2 + 650784^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 497047560197 and 497047560206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 73318275 + ... + 73325053.

Almost surely, 2^497047560256 is an apocalyptic number.

497047560256 is the 705016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 497047560256

497047560256 is an abundant number, since it is smaller than the sum of its proper divisors (571146473405).

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

497047560256 is an frugal number, since it uses more digits than its factorization.

497047560256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13596 (or 6794 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 55.

The spelling of 497047560256 in words is "four hundred ninety-seven billion, forty-seven million, five hundred sixty thousand, two hundred fifty-six".