493588080 has 300 divisors, whose sum is σ = 1817854632. Its totient is φ = 124104960.

The previous prime is 493588057. The next prime is 493588087. The reversal of 493588080 is 80885394.

493588080 is a `hidden beast` number, since 493 + 5 + 8 + 80 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493588087) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2339175 + ... + 2339385.

Almost surely, 2^493588080 is an apocalyptic number.

493588080 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 493588080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908927316).

493588080 is an abundant number, since it is smaller than the sum of its proper divisors (1324266552).

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

493588080 is a wasteful number, since it uses less digits than its factorization.

493588080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 493588080 is about 22216.8422598712. The cubic root of 493588080 is about 790.2931561693.

The spelling of 493588080 in words is "four hundred ninety-three million, five hundred eighty-eight thousand, eighty".