492249415680 has 864 divisors, whose sum is σ = 1937408735808. Its totient is φ = 118908518400.

The previous prime is 492249415627. The next prime is 492249415747. The reversal of 492249415680 is 86514942294.

492249415680 is a `hidden beast` number, since 4 + 9 + 22 + 494 + 1 + 56 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1751777140 + ... + 1751777420.

It is an arithmetic number, because the mean of its divisors is an integer number (2242371222).

Almost surely, 2^492249415680 is an apocalyptic number.

492249415680 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 492249415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968704367904).

492249415680 is an abundant number, since it is smaller than the sum of its proper divisors (1445159320128).

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

492249415680 is an frugal number, since it uses more digits than its factorization.

492249415680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 492249415680 in words is "four hundred ninety-two billion, two hundred forty-nine million, four hundred fifteen thousand, six hundred eighty".