497727428004 has 81 divisors (see below), whose sum is σ = 1300381673409. Its totient is φ = 160514904960.

The previous prime is 497727427987. The next prime is 497727428039. The reversal of 497727428004 is 400824727794.

The square root of 497727428004 is 705498.

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

497727428004 is a `hidden beast` number, since 4 + 97 + 7 + 274 + 280 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 90234152100 + 407493275904 = 300390^2 + 638352^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 131220732 + ... + 131224524.

Almost surely, 2^497727428004 is an apocalyptic number.

497727428004 is the 705498-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 497727428004

497727428004 is an abundant number, since it is smaller than the sum of its proper divisors (802654245405).

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

497727428004 is an equidigital number, since it uses as much as digits as its factorization.

497727428004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7658 (or 3829 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 497727428004 in words is "four hundred ninety-seven billion, seven hundred twenty-seven million, four hundred twenty-eight thousand, four".