493710336 has 176 divisors, whose sum is σ = 1671662080. Its totient is φ = 141004800.

The previous prime is 493710331. The next prime is 493710359. The reversal of 493710336 is 633017394.

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

It is a self number, because there is not a number n which added to its sum of digits gives 493710336.

It is not an unprimeable number, because it can be changed into a prime (493710331) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 192261 + ... + 194811.

It is an arithmetic number, because the mean of its divisors is an integer number (9498080).

Almost surely, 2^493710336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493710336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835831040).

493710336 is an abundant number, since it is smaller than the sum of its proper divisors (1177951744).

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

493710336 is a wasteful number, since it uses less digits than its factorization.

493710336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 493710336 is about 22219.5935156339. The cubic root of 493710336 is about 790.3583995764.

The spelling of 493710336 in words is "four hundred ninety-three million, seven hundred ten thousand, three hundred thirty-six".