497152417001760 has 2304 divisors, whose sum is σ = 1951390152391680. Its totient is φ = 114428639969280.

The previous prime is 497152417001749. The next prime is 497152417001813. The reversal of 497152417001760 is 67100714251794.

497152417001760 is a `hidden beast` number, since 4 + 9 + 7 + 1 + 52 + 417 + 0 + 0 + 176 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 497152417001697 and 497152417001706.

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 383 ways as a sum of consecutive naturals, for example, 406502384509 + ... + 406502385731.

It is an arithmetic number, because the mean of its divisors is an integer number (846957531420).

Almost surely, 2^{497152417001760} is an apocalyptic number.

497152417001760 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 497152417001760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975695076195840).

497152417001760 is an abundant number, since it is smaller than the sum of its proper divisors (1454237735389920).

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

497152417001760 is a wasteful number, since it uses less digits than its factorization.

497152417001760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 497152417001760 in words is "four hundred ninety-seven trillion, one hundred fifty-two billion, four hundred seventeen million, one thousand, seven hundred sixty".