493249536 has 264 divisors, whose sum is σ = 1609433280. Its totient is φ = 144359424.

The previous prime is 493249529. The next prime is 493249571. The reversal of 493249536 is 635942394.

493249536 is a `hidden beast` number, since 4 + 93 + 24 + 9 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 493249491 and 493249500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2755495 + ... + 2755673.

Almost surely, 2^493249536 is an apocalyptic number.

493249536 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 493249536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804716640).

493249536 is an abundant number, since it is smaller than the sum of its proper divisors (1116183744).

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

493249536 is a wasteful number, since it uses less digits than its factorization.

493249536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 220 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 493249536 is about 22209.2218684041. The cubic root of 493249536 is about 790.1124317896.

The spelling of 493249536 in words is "four hundred ninety-three million, two hundred forty-nine thousand, five hundred thirty-six".