493144848 has 200 divisors, whose sum is σ = 1717657920. Its totient is φ = 133436160.

The previous prime is 493144831. The next prime is 493144871. The reversal of 493144848 is 848441394.

It is a super-2 number, since 2×493144848² = 486383682217886208, which contains 22 as substring.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 170938 + ... + 173798.

Almost surely, 2^493144848 is an apocalyptic number.

493144848 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 493144848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858828960).

493144848 is an abundant number, since it is smaller than the sum of its proper divisors (1224513072).

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

493144848 is a wasteful number, since it uses less digits than its factorization.

493144848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2907 (or 2892 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 493144848 is about 22206.8648845351. The cubic root of 493144848 is about 790.0565296300.

The spelling of 493144848 in words is "four hundred ninety-three million, one hundred forty-four thousand, eight hundred forty-eight".