492768192 has 224 divisors, whose sum is σ = 1638604800. Its totient is φ = 127429632.

The previous prime is 492768191. The next prime is 492768197. The reversal of 492768192 is 291867294.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492768191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 586909 + ... + 587747.

It is an arithmetic number, because the mean of its divisors is an integer number (7315200).

Almost surely, 2^492768192 is an apocalyptic number.

492768192 is a gapful number since it is divisible by the number (42) 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 492768192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819302400).

492768192 is an abundant number, since it is smaller than the sum of its proper divisors (1145836608).

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

492768192 is a wasteful number, since it uses less digits than its factorization.

492768192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 893 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 492768192 is about 22198.3826437874. The cubic root of 492768192 is about 789.8553342965.

The spelling of 492768192 in words is "four hundred ninety-two million, seven hundred sixty-eight thousand, one hundred ninety-two".