493640 has 64 divisors (see below), whose sum is σ = 1330560. Its totient is φ = 161280.

The previous prime is 493627. The next prime is 493643. The reversal of 493640 is 46394.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (493643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11459 + ... + 11501.

It is an arithmetic number, because the mean of its divisors is an integer number (20790).

2⁴⁹³⁶⁴⁰ is an apocalyptic number.

493640 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 493640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665280).

493640 is an abundant number, since it is smaller than the sum of its proper divisors (836920).

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

493640 is a wasteful number, since it uses less digits than its factorization.

493640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 493640 is about 702.5951892804. The cubic root of 493640 is about 79.0320865227.

The spelling of 493640 in words is "four hundred ninety-three thousand, six hundred forty".