493874560 has 32 divisors (see below), whose sum is σ = 1180670400. Its totient is φ = 197549568.

The previous prime is 493874551. The next prime is 493874569. The reversal of 493874560 is 65478394.

It is an interprime number because it is at equal distance from previous prime (493874551) and next prime (493874569).

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 493874560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493874569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 385200 + ... + 386479.

It is an arithmetic number, because the mean of its divisors is an integer number (36895950).

Almost surely, 2^493874560 is an apocalyptic number.

493874560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

493874560 is an abundant number, since it is smaller than the sum of its proper divisors (686795840).

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

493874560 is an equidigital number, since it uses as much as digits as its factorization.

493874560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771698 (or 771686 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The square root of 493874560 is about 22223.2886855209. The cubic root of 493874560 is about 790.4460227700.

The spelling of 493874560 in words is "four hundred ninety-three million, eight hundred seventy-four thousand, five hundred sixty".