492768000 has 432 divisors, whose sum is σ = 1865354400. Its totient is φ = 124723200.

The previous prime is 492767999. The next prime is 492768007. The reversal of 492768000 is 867294.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492768007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8351971 + ... + 8352029.

It is an arithmetic number, because the mean of its divisors is an integer number (4317950).

Almost surely, 2^492768000 is an apocalyptic number.

492768000 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 492768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932677200).

492768000 is an abundant number, since it is smaller than the sum of its proper divisors (1372586400).

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

492768000 is a wasteful number, since it uses less digits than its factorization.

492768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 492768000 is about 22198.3783191475. The cubic root of 492768000 is about 789.8552317112.

It can be divided in two parts, 4927 and 68000, that added together give a palindrome (72927).

The spelling of 492768000 in words is "four hundred ninety-two million, seven hundred sixty-eight thousand".