493447248 has 120 divisors (see below), whose sum is σ = 1647692160. Its totient is φ = 140978880.

The previous prime is 493447247. The next prime is 493447277. The reversal of 493447248 is 842744394.

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 (493447247) 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 23 ways as a sum of consecutive naturals, for example, 9513 + ... + 32823.

It is an arithmetic number, because the mean of its divisors is an integer number (13730768).

Almost surely, 2^493447248 is an apocalyptic number.

493447248 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 493447248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823846080).

493447248 is an abundant number, since it is smaller than the sum of its proper divisors (1154244912).

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

493447248 is a wasteful number, since it uses less digits than its factorization.

493447248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23342 (or 23323 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 493447248 is about 22213.6725464296. The cubic root of 493447248 is about 790.2179860984.

The spelling of 493447248 in words is "four hundred ninety-three million, four hundred forty-seven thousand, two hundred forty-eight".