493248 has 56 divisors (see below), whose sum is σ = 1495552. Its totient is φ = 140544.

The previous prime is 493243. The next prime is 493249. The reversal of 493248 is 842394.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 493248.

It is not an unprimeable number, because it can be changed into a prime (493243) by changing a digit.

493248 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1161 + ... + 1527.

2⁴⁹³²⁴⁸ is an apocalyptic number.

493248 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 493248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747776).

493248 is an abundant number, since it is smaller than the sum of its proper divisors (1002304).

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

493248 is a wasteful number, since it uses less digits than its factorization.

493248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 379 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 493248 is about 702.3161681180. The cubic root of 493248 is about 79.0111611641.

It can be divided in two parts, 493 and 248, that added together give a triangular number (741 = T₃₈).

The spelling of 493248 in words is "four hundred ninety-three thousand, two hundred forty-eight".