463648 has 12 divisors (see below), whose sum is σ = 912870. Its totient is φ = 231808.

The previous prime is 463643. The next prime is 463649. The reversal of 463648 is 846364.

It can be written as a sum of positive squares in only one way, i.e., 446224 + 17424 = 668^2 + 132^2 .

It is not an unprimeable number, because it can be changed into a prime (463643) 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 as a sum of consecutive naturals, namely, 7213 + ... + 7276.

2⁴⁶³⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

463648 is a deficient number, since it is larger than the sum of its proper divisors (449222).

463648 is a wasteful number, since it uses less digits than its factorization.

463648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14499 (or 14491 counting only the distinct ones).

The product of its digits is 13824, while the sum is 31.

The square root of 463648 is about 680.9170287194. The cubic root of 463648 is about 77.3979510126.

It can be divided in two parts, 463 and 648, that added together give a palindrome (1111).

The spelling of 463648 in words is "four hundred sixty-three thousand, six hundred forty-eight".