493136640 has 288 divisors, whose sum is σ = 1844505600. Its totient is φ = 124416000.

The previous prime is 493136593. The next prime is 493136647. The reversal of 493136640 is 46631394.

493136640 is a `hidden beast` number, since 4 + 9 + 3 + 1 + 3 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 493136595 and 493136604.

It is not an unprimeable number, because it can be changed into a prime (493136647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 656265 + ... + 657015.

Almost surely, 2^493136640 is an apocalyptic number.

493136640 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 493136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922252800).

493136640 is an abundant number, since it is smaller than the sum of its proper divisors (1351368960).

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

493136640 is a wasteful number, since it uses less digits than its factorization.

493136640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 493136640 is about 22206.6800760492. The cubic root of 493136640 is about 790.0521463202.

The spelling of 493136640 in words is "four hundred ninety-three million, one hundred thirty-six thousand, six hundred forty".