493307640 has 192 divisors, whose sum is σ = 1928908800. Its totient is φ = 106811136.

The previous prime is 493307593. The next prime is 493307641. The reversal of 493307640 is 46703394.

493307640 is a `hidden beast` number, since 4 + 9 + 3 + 3 + 0 + 7 + 640 = 666.

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 = 493307595 and 493307604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493307641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42729 + ... + 53031.

It is an arithmetic number, because the mean of its divisors is an integer number (10046400).

Almost surely, 2^493307640 is an apocalyptic number.

493307640 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 493307640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964454400).

493307640 is an abundant number, since it is smaller than the sum of its proper divisors (1435601160).

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

493307640 is a wasteful number, since it uses less digits than its factorization.

493307640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10346 (or 10339 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 493307640 is about 22210.5299351456. The cubic root of 493307640 is about 790.1434552283.

The spelling of 493307640 in words is "four hundred ninety-three million, three hundred seven thousand, six hundred forty".