492505200000 has 576 divisors, whose sum is σ = 1932624897840. Its totient is φ = 119385600000.

The previous prime is 492505199993. The next prime is 492505200001. The reversal of 492505200000 is 2505294.

492505200000 is a `hidden beast` number, since 4 + 92 + 50 + 520 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×492505200000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492505200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39593782 + ... + 39606218.

Almost surely, 2^492505200000 is an apocalyptic number.

492505200000 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 492505200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966312448920).

492505200000 is an abundant number, since it is smaller than the sum of its proper divisors (1440119697840).

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

492505200000 is a wasteful number, since it uses less digits than its factorization.

492505200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12493 (or 12458 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 492505200000 its reverse (2505294), we get a palindrome (492507705294).

The spelling of 492505200000 in words is "four hundred ninety-two billion, five hundred five million, two hundred thousand".