493809232560 has 240 divisors, whose sum is σ = 1781759397600. Its totient is φ = 112805855232.

The previous prime is 493809232547. The next prime is 493809232619. The reversal of 493809232560 is 65232908394.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×493809232560² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22203526 + ... + 22225754.

It is an arithmetic number, because the mean of its divisors is an integer number (7423997490).

Almost surely, 2^493809232560 is an apocalyptic number.

493809232560 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 493809232560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890879698800).

493809232560 is an abundant number, since it is smaller than the sum of its proper divisors (1287950165040).

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

493809232560 is a wasteful number, since it uses less digits than its factorization.

493809232560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24148 (or 24135 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 493809232560 in words is "four hundred ninety-three billion, eight hundred nine million, two hundred thirty-two thousand, five hundred sixty".