493727760 has 60 divisors (see below), whose sum is σ = 1658104812. Its totient is φ = 131660544.

The previous prime is 493727737. The next prime is 493727771. The reversal of 493727760 is 67727394.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 53231616 + 440496144 = 7296^2 + 20988^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 11 ways as a sum of consecutive naturals, for example, 342147 + ... + 343586.

Almost surely, 2^493727760 is an apocalyptic number.

493727760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

493727760 is an abundant number, since it is smaller than the sum of its proper divisors (1164377052).

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

493727760 is a wasteful number, since it uses less digits than its factorization.

493727760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685752 (or 685743 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 493727760 is about 22219.9855985552. The cubic root of 493727760 is about 790.3676972298.

The spelling of 493727760 in words is "four hundred ninety-three million, seven hundred twenty-seven thousand, seven hundred sixty".