493984512 has 216 divisors, whose sum is σ = 1648526880. Its totient is φ = 139345920.

The previous prime is 493984507. The next prime is 493984529. The reversal of 493984512 is 215489394.

493984512 is a `hidden beast` number, since 49 + 3 + 98 + 4 + 512 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1757812 + ... + 1758092.

Almost surely, 2^493984512 is an apocalyptic number.

493984512 is a gapful number since it is divisible by the number (42) 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 493984512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824263440).

493984512 is an abundant number, since it is smaller than the sum of its proper divisors (1154542368).

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

493984512 is a wasteful number, since it uses less digits than its factorization.

493984512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 402 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 493984512 is about 22225.7623491299. The cubic root of 493984512 is about 790.5046777937.

The spelling of 493984512 in words is "four hundred ninety-three million, nine hundred eighty-four thousand, five hundred twelve".