493968640 has 72 divisors (see below), whose sum is σ = 1290810528. Its totient is φ = 179619840.

The previous prime is 493968617. The next prime is 493968641. The reversal of 493968640 is 46869394.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493968641) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3462 + ... + 31621.

It is an arithmetic number, because the mean of its divisors is an integer number (17927924).

Almost surely, 2^493968640 is an apocalyptic number.

493968640 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 493968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645405264).

493968640 is an abundant number, since it is smaller than the sum of its proper divisors (796841888).

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

493968640 is a wasteful number, since it uses less digits than its factorization.

493968640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35115 (or 35101 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 49.

The square root of 493968640 is about 22225.4052831439. The cubic root of 493968640 is about 790.4962112499.

The spelling of 493968640 in words is "four hundred ninety-three million, nine hundred sixty-eight thousand, six hundred forty".