497250625600 has 315 divisors, whose sum is σ = 1321679258211. Its totient is φ = 184131379200.

The previous prime is 497250625577. The next prime is 497250625603. The reversal of 497250625600 is 6526052794.

The square root of 497250625600 is 705160.

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

It can be written as a sum of positive squares in 22 ways, for example, as 485385316416 + 11865309184 = 696696^2 + 108928^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (497250625603) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 8151649570 + ... + 8151649630.

Almost surely, 2^497250625600 is an apocalyptic number.

497250625600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

497250625600 is the 705160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 497250625600

497250625600 is an abundant number, since it is smaller than the sum of its proper divisors (824428632611).

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

497250625600 is an frugal number, since it uses more digits than its factorization.

497250625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 46.

The spelling of 497250625600 in words is "four hundred ninety-seven billion, two hundred fifty million, six hundred twenty-five thousand, six hundred".