493766408520 has 1152 divisors, whose sum is σ = 2177869680000. Its totient is φ = 99025597440.

The previous prime is 493766408431. The next prime is 493766408567. The reversal of 493766408520 is 25804667394.

493766408520 is a `hidden beast` number, since 4 + 9 + 3 + 76 + 6 + 40 + 8 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 185694951 + ... + 185697609.

It is an arithmetic number, because the mean of its divisors is an integer number (1890511875).

Almost surely, 2^493766408520 is an apocalyptic number.

493766408520 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 493766408520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088934840000).

493766408520 is an abundant number, since it is smaller than the sum of its proper divisors (1684103271480).

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

493766408520 is a wasteful number, since it uses less digits than its factorization.

493766408520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 493766408520 in words is "four hundred ninety-three billion, seven hundred sixty-six million, four hundred eight thousand, five hundred twenty".