493708320 has 216 divisors, whose sum is σ = 1960125804. Its totient is φ = 112831488.

The previous prime is 493708291. The next prime is 493708349. The reversal of 493708320 is 23807394.

493708320 is a `hidden beast` number, since 493 + 70 + 83 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (493708291) and next prime (493708349).

It can be written as a sum of positive squares in 2 ways, for example, as 480661776 + 13046544 = 21924^2 + 3612^2 .

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

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 35 ways as a sum of consecutive naturals, for example, 67062 + ... + 74058.

Almost surely, 2^493708320 is an apocalyptic number.

493708320 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 493708320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980062902).

493708320 is an abundant number, since it is smaller than the sum of its proper divisors (1466417484).

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

493708320 is a wasteful number, since it uses less digits than its factorization.

493708320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7032 (or 7014 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 493708320 is about 22219.5481502212. The cubic root of 493708320 is about 790.3573238007.

The spelling of 493708320 in words is "four hundred ninety-three million, seven hundred eight thousand, three hundred twenty".