492667369800 has 192 divisors, whose sum is σ = 1581933749760. Its totient is φ = 126704640000.

The previous prime is 492667369793. The next prime is 492667369801. The reversal of 492667369800 is 8963766294.

It is a super-2 number, since 2×492667369800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (492667369801) 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 47 ways as a sum of consecutive naturals, for example, 5404600 + ... + 5495000.

It is an arithmetic number, because the mean of its divisors is an integer number (8239238280).

Almost surely, 2^492667369800 is an apocalyptic number.

492667369800 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 492667369800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790966874880).

492667369800 is an abundant number, since it is smaller than the sum of its proper divisors (1089266379960).

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

492667369800 is a wasteful number, since it uses less digits than its factorization.

492667369800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90744 (or 90735 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 60.

The spelling of 492667369800 in words is "four hundred ninety-two billion, six hundred sixty-seven million, three hundred sixty-nine thousand, eight hundred".