493188192 has 72 divisors (see below), whose sum is σ = 1602868176. Its totient is φ = 140910336.

The previous prime is 493188169. The next prime is 493188193. The reversal of 493188192 is 291881394.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493188193) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120303 + ... + 124334.

It is an arithmetic number, because the mean of its divisors is an integer number (22262058).

Almost surely, 2^493188192 is an apocalyptic number.

493188192 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

493188192 is an abundant number, since it is smaller than the sum of its proper divisors (1109679984).

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

493188192 is a wasteful number, since it uses less digits than its factorization.

493188192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244660 (or 244649 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 493188192 is about 22207.8407775272. The cubic root of 493188192 is about 790.0796757754.

The spelling of 493188192 in words is "four hundred ninety-three million, one hundred eighty-eight thousand, one hundred ninety-two".