493308000 has 288 divisors, whose sum is σ = 1784607552. Its totient is φ = 129024000.

The previous prime is 493307987. The next prime is 493308007. The reversal of 493308000 is 803394.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493308007) 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 47 ways as a sum of consecutive naturals, for example, 2555904 + ... + 2556096.

It is an arithmetic number, because the mean of its divisors is an integer number (6196554).

Almost surely, 2^493308000 is an apocalyptic number.

493308000 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 493308000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892303776).

493308000 is an abundant number, since it is smaller than the sum of its proper divisors (1291299552).

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

493308000 is a wasteful number, since it uses less digits than its factorization.

493308000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 493308000 is about 22210.5380394082. The cubic root of 493308000 is about 790.1436474353.

The spelling of 493308000 in words is "four hundred ninety-three million, three hundred eight thousand".