463248 has 30 divisors (see below), whose sum is σ = 1296854. Its totient is φ = 154368.

The previous prime is 463247. The next prime is 463249. The reversal of 463248 is 842364.

It is an interprime number because it is at equal distance from previous prime (463247) and next prime (463249).

It can be written as a sum of positive squares in only one way, i.e., 451584 + 11664 = 672^2 + 108^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 463248.

It is not an unprimeable number, because it can be changed into a prime (463247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1465 + ... + 1752.

2⁴⁶³²⁴⁸ is an apocalyptic number.

463248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

463248 is an abundant number, since it is smaller than the sum of its proper divisors (833606).

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

463248 is a wasteful number, since it uses less digits than its factorization.

463248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3231 (or 3222 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 463248 is about 680.6232437994. The cubic root of 463248 is about 77.3756869332.

Adding to 463248 its product of digits (4608), we get a square (467856 = 684²).

The spelling of 463248 in words is "four hundred sixty-three thousand, two hundred forty-eight".