497056520024400 has 480 divisors, whose sum is σ = 1838090063278080. Its totient is φ = 112469373480960.

The previous prime is 497056520024381. The next prime is 497056520024417. The reversal of 497056520024400 is 4420025650794.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 497056520024400.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 412535637 + ... + 413738763.

It is an arithmetic number, because the mean of its divisors is an integer number (3829354298496).

Almost surely, 2^{497056520024400} is an apocalyptic number.

497056520024400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 497056520024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919045031639040).

497056520024400 is an abundant number, since it is smaller than the sum of its proper divisors (1341033543253680).

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

497056520024400 is a wasteful number, since it uses less digits than its factorization.

497056520024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203651 (or 1203640 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 497056520024400 in words is "four hundred ninety-seven trillion, fifty-six billion, five hundred twenty million, twenty-four thousand, four hundred".