493606080 has 168 divisors, whose sum is σ = 1852263504. Its totient is φ = 119654400.

The previous prime is 493606051. The next prime is 493606109. The reversal of 493606080 is 80606394.

493606080 is a `hidden beast` number, since 49 + 3 + 6 + 0 + 608 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (493606051) and next prime (493606109).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23890 + ... + 39470.

It is an arithmetic number, because the mean of its divisors is an integer number (11025378).

Almost surely, 2^493606080 is an apocalyptic number.

493606080 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 493606080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926131752).

493606080 is an abundant number, since it is smaller than the sum of its proper divisors (1358657424).

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

493606080 is a wasteful number, since it uses less digits than its factorization.

493606080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15615 (or 15602 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 493606080 is about 22217.2473542516. The cubic root of 493606080 is about 790.3027627653.

The spelling of 493606080 in words is "four hundred ninety-three million, six hundred six thousand, eighty".