493531680 has 48 divisors (see below), whose sum is σ = 1554626304. Its totient is φ = 131608320.

The previous prime is 493531667. The next prime is 493531693. The reversal of 493531680 is 86135394.

It is an interprime number because it is at equal distance from previous prime (493531667) and next prime (493531693).

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 513616 + ... + 514575.

It is an arithmetic number, because the mean of its divisors is an integer number (32388048).

Almost surely, 2^493531680 is an apocalyptic number.

493531680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

493531680 is an abundant number, since it is smaller than the sum of its proper divisors (1061094624).

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

493531680 is a wasteful number, since it uses less digits than its factorization.

493531680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028209 (or 1028201 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 493531680 is about 22215.5729163126. The cubic root of 493531680 is about 790.2630539892.

The spelling of 493531680 in words is "four hundred ninety-three million, five hundred thirty-one thousand, six hundred eighty".