492480067200 has 576 divisors, whose sum is σ = 1790079281760. Its totient is φ = 118914048000.

The previous prime is 492480067187. The next prime is 492480067201. The reversal of 492480067200 is 2760084294.

It is a super-3 number, since 3×492480067200³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (492480067201) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 356610510 + ... + 356611890.

Almost surely, 2^492480067200 is an apocalyptic number.

492480067200 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 492480067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895039640880).

492480067200 is an abundant number, since it is smaller than the sum of its proper divisors (1297599214560).

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

492480067200 is a wasteful number, since it uses less digits than its factorization.

492480067200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 492480067200 in words is "four hundred ninety-two billion, four hundred eighty million, sixty-seven thousand, two hundred".