493680096 has 540 divisors, whose sum is σ = 1908372312. Its totient is φ = 124540416.

The previous prime is 493680071. The next prime is 493680127. The reversal of 493680096 is 690086394.

It is a congruent number.

It is an unprimeable number.

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 89 ways as a sum of consecutive naturals, for example, 21464341 + ... + 21464363.

Almost surely, 2^493680096 is an apocalyptic number.

493680096 is a gapful number since it is divisible by the number (46) 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 493680096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954186156).

493680096 is an abundant number, since it is smaller than the sum of its proper divisors (1414692216).

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

493680096 is a wasteful number, since it uses less digits than its factorization.

493680096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 493680096 is about 22218.9130247184. The cubic root of 493680096 is about 790.3422626338.

The spelling of 493680096 in words is "four hundred ninety-three million, six hundred eighty thousand, ninety-six".