493116120 has 256 divisors, whose sum is σ = 1977984000. Its totient is φ = 106748928.

The previous prime is 493116089. The next prime is 493116121. The reversal of 493116120 is 21611394.

493116120 is a `hidden beast` number, since 49 + 3 + 1 + 1 + 612 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493116121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141924 + ... + 145356.

It is an arithmetic number, because the mean of its divisors is an integer number (7726500).

Almost surely, 2^493116120 is an apocalyptic number.

493116120 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 493116120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988992000).

493116120 is an abundant number, since it is smaller than the sum of its proper divisors (1484867880).

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

493116120 is a wasteful number, since it uses less digits than its factorization.

493116120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3479 (or 3469 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 493116120 is about 22206.2180481054. The cubic root of 493116120 is about 790.0411878328.

The spelling of 493116120 in words is "four hundred ninety-three million, one hundred sixteen thousand, one hundred twenty".