492301286400 has 2112 divisors, whose sum is σ = 2210618511360. Its totient is φ = 93506764800.

The previous prime is 492301286377. The next prime is 492301286413. The reversal of 492301286400 is 4682103294.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-3 number, since 3×492301286400³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 5931340759 + ... + 5931340841.

Almost surely, 2^492301286400 is an apocalyptic number.

492301286400 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 492301286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105309255680).

492301286400 is an abundant number, since it is smaller than the sum of its proper divisors (1718317224960).

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

492301286400 is a wasteful number, since it uses less digits than its factorization.

492301286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

Adding to 492301286400 its reverse (4682103294), we get a palindrome (496983389694).

The spelling of 492301286400 in words is "four hundred ninety-two billion, three hundred one million, two hundred eighty-six thousand, four hundred".