493141320 has 96 divisors (see below), whose sum is σ = 1831677120. Its totient is φ = 112717440.

The previous prime is 493141289. The next prime is 493141331. The reversal of 493141320 is 23141394.

493141320 is a `hidden beast` number, since 493 + 141 + 32 + 0 = 666.

It is a super-2 number, since 2×493141320² = 486376722982684800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95326 + ... + 100365.

It is an arithmetic number, because the mean of its divisors is an integer number (19079970).

Almost surely, 2^493141320 is an apocalyptic number.

493141320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

493141320 is an abundant number, since it is smaller than the sum of its proper divisors (1338535800).

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

493141320 is a wasteful number, since it uses less digits than its factorization.

493141320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195715 (or 195708 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 493141320 is about 22206.7854494972. The cubic root of 493141320 is about 790.0546455817.

The spelling of 493141320 in words is "four hundred ninety-three million, one hundred forty-one thousand, three hundred twenty".