492576768 has 224 divisors, whose sum is σ = 1557040320. Its totient is φ = 153354240.

The previous prime is 492576761. The next prime is 492576793. The reversal of 492576768 is 867675294.

492576768 is a `hidden beast` number, since 4 + 9 + 2 + 576 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492576761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3760063 + ... + 3760193.

Almost surely, 2^492576768 is an apocalyptic number.

492576768 is a gapful number since it is divisible by the number (48) 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 492576768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778520160).

492576768 is an abundant number, since it is smaller than the sum of its proper divisors (1064463552).

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

492576768 is a wasteful number, since it uses less digits than its factorization.

492576768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 153 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 492576768 is about 22194.0705594985. The cubic root of 492576768 is about 789.7530435693.

The spelling of 492576768 in words is "four hundred ninety-two million, five hundred seventy-six thousand, seven hundred sixty-eight".