493623648 has 288 divisors, whose sum is σ = 1729728000. Its totient is φ = 133104384.

The previous prime is 493623643. The next prime is 493623649. The reversal of 493623648 is 846326394.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493623643) 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 47 ways as a sum of consecutive naturals, for example, 1876765 + ... + 1877027.

It is an arithmetic number, because the mean of its divisors is an integer number (6006000).

Almost surely, 2^493623648 is an apocalyptic number.

493623648 is a gapful number since it is divisible by the number (48) 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 493623648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864864000).

493623648 is an abundant number, since it is smaller than the sum of its proper divisors (1236104352).

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

493623648 is a wasteful number, since it uses less digits than its factorization.

493623648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 294 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 493623648 is about 22217.6427192445. The cubic root of 493623648 is about 790.3121385779.

The spelling of 493623648 in words is "four hundred ninety-three million, six hundred twenty-three thousand, six hundred forty-eight".