493160448 has 96 divisors (see below), whose sum is σ = 1434494880. Its totient is φ = 149422080.

The previous prime is 493160443. The next prime is 493160449. The reversal of 493160448 is 844061394.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (493160441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63936 + ... + 71232.

It is an arithmetic number, because the mean of its divisors is an integer number (14942655).

Almost surely, 2^493160448 is an apocalyptic number.

493160448 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 493160448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717247440).

493160448 is an abundant number, since it is smaller than the sum of its proper divisors (941334432).

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

493160448 is a wasteful number, since it uses less digits than its factorization.

493160448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7333 (or 7313 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 493160448 is about 22207.2161244943. The cubic root of 493160448 is about 790.0648603479.

The spelling of 493160448 in words is "four hundred ninety-three million, one hundred sixty thousand, four hundred forty-eight".