497782458369 has 63 divisors (see below), whose sum is σ = 868415071923. Its totient is φ = 284370921072.

The previous prime is 497782458361. The next prime is 497782458389. The reversal of 497782458369 is 963854287794.

The square root of 497782458369 is 705537.

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

497782458369 is a `hidden beast` number, since 4 + 97 + 7 + 82 + 458 + 3 + 6 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 273095082225 + 224687376144 = 522585^2 + 474012^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 497782458369 - 2³ = 497782458361 is a prime.

It is a super-2 number, since 2×497782458369² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 497782458297 and 497782458306.

It is not an unprimeable number, because it can be changed into a prime (497782458361) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 133344627 + ... + 133348359.

It is an arithmetic number, because the mean of its divisors is an integer number (13784366221).

Almost surely, 2^497782458369 is an apocalyptic number.

497782458369 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

497782458369 is the 705537-th square number.

497782458369 is the 352769-th centered octagonal number.

It is an amenable number.

497782458369 is a deficient number, since it is larger than the sum of its proper divisors (370632613554).

497782458369 is an frugal number, since it uses more digits than its factorization.

497782458369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7498 (or 3743 counting only the distinct ones).

The product of its digits is 731566080, while the sum is 72.

The spelling of 497782458369 in words is "four hundred ninety-seven billion, seven hundred eighty-two million, four hundred fifty-eight thousand, three hundred sixty-nine".