492357917076480 has 4224 divisors, whose sum is σ = 2248908167116800. Its totient is φ = 99467187978240.

The previous prime is 492357917076461. The next prime is 492357917076499. The reversal of 492357917076480 is 84670719753294.

492357917076480 is a `hidden beast` number, since 4 + 9 + 2 + 3 + 5 + 7 + 9 + 1 + 70 + 76 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (492357917076461) and next prime (492357917076499).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 492357917076399 and 492357917076408.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1680402447214 + ... + 1680402447506.

It is a 2-persistent number, because it is pandigital, and so is 2⋅492357917076480 = 984715834152960, but 3⋅492357917076480 = 1477073751229440 is not.

Almost surely, 2^{492357917076480} is an apocalyptic number.

492357917076480 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 492357917076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124454083558400).

492357917076480 is an abundant number, since it is smaller than the sum of its proper divisors (1756550250040320).

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

492357917076480 is a wasteful number, since it uses less digits than its factorization.

492357917076480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 640120320, while the sum is 72.

The spelling of 492357917076480 in words is "four hundred ninety-two trillion, three hundred fifty-seven billion, nine hundred seventeen million, seventy-six thousand, four hundred eighty".