497256701760 has 896 divisors, whose sum is σ = 2199949839360. Its totient is φ = 102927532032.

The previous prime is 497256701713. The next prime is 497256701771. The reversal of 497256701760 is 67107652794.

497256701760 is a `hidden beast` number, since 4 + 9 + 7 + 2 + 567 + 0 + 1 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 497256701697 and 497256701706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41664754 + ... + 41676686.

It is an arithmetic number, because the mean of its divisors is an integer number (2455301160).

Almost surely, 2^497256701760 is an apocalyptic number.

497256701760 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 497256701760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099974919680).

497256701760 is an abundant number, since it is smaller than the sum of its proper divisors (1702693137600).

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

497256701760 is a wasteful number, since it uses less digits than its factorization.

497256701760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12032 (or 12016 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 497256701760 in words is "four hundred ninety-seven billion, two hundred fifty-six million, seven hundred one thousand, seven hundred sixty".