492381378720 has 1536 divisors, whose sum is σ = 2233715097600. Its totient is φ = 98338406400.

The previous prime is 492381378677. The next prime is 492381378737. The reversal of 492381378720 is 27873183294.

492381378720 is a `hidden beast` number, since 492 + 3 + 8 + 13 + 78 + 72 + 0 = 666.

It is a super-2 number, since 2×492381378720² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1077420732 + ... + 1077421188.

It is an arithmetic number, because the mean of its divisors is an integer number (1454241600).

Almost surely, 2^492381378720 is an apocalyptic number.

492381378720 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 492381378720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116857548800).

492381378720 is an abundant number, since it is smaller than the sum of its proper divisors (1741333718880).

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

492381378720 is a wasteful number, since it uses less digits than its factorization.

492381378720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 492381378720 in words is "four hundred ninety-two billion, three hundred eighty-one million, three hundred seventy-eight thousand, seven hundred twenty".