492397829454960 has 2560 divisors, whose sum is σ = 2074484824473600. Its totient is φ = 105721749504000.

The previous prime is 492397829454941. The next prime is 492397829455043. The reversal of 492397829454960 is 69454928793294.

It is a happy number.

492397829454960 is a `hidden beast` number, since 4 + 9 + 2 + 3 + 9 + 7 + 8 + 2 + 9 + 4 + 549 + 60 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 492397829454960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 874596499639 + ... + 874596500201.

It is an arithmetic number, because the mean of its divisors is an integer number (810345634560).

Almost surely, 2^{492397829454960} is an apocalyptic number.

492397829454960 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 492397829454960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037242412236800).

492397829454960 is an abundant number, since it is smaller than the sum of its proper divisors (1582086995018640).

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

492397829454960 is a wasteful number, since it uses less digits than its factorization.

492397829454960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 8465264640, while the sum is 81.

The spelling of 492397829454960 in words is "four hundred ninety-two trillion, three hundred ninety-seven billion, eight hundred twenty-nine million, four hundred fifty-four thousand, nine hundred sixty".