493766730240 has 320 divisors, whose sum is σ = 1862212239360. Its totient is φ = 109219921920.

The previous prime is 493766730199. The next prime is 493766730241. The reversal of 493766730240 is 42037667394.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (493766730241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1518421 + ... + 1814699.

It is an arithmetic number, because the mean of its divisors is an integer number (5819413248).

Almost surely, 2^493766730240 is an apocalyptic number.

493766730240 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 493766730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931106119680).

493766730240 is an abundant number, since it is smaller than the sum of its proper divisors (1368445509120).

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

493766730240 is a wasteful number, since it uses less digits than its factorization.

493766730240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296343 (or 296327 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 51.

The spelling of 493766730240 in words is "four hundred ninety-three billion, seven hundred sixty-six million, seven hundred thirty thousand, two hundred forty".