463968 has 60 divisors (see below), whose sum is σ = 1372140. Its totient is φ = 153792.

The previous prime is 463963. The next prime is 463973. The reversal of 463968 is 869364.

It is an interprime number because it is at equal distance from previous prime (463963) and next prime (463973).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463963) by changing a digit.

463968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 9 ways as a sum of consecutive naturals, for example, 2503 + ... + 2681.

It is an arithmetic number, because the mean of its divisors is an integer number (22869).

2⁴⁶³⁹⁶⁸ is an apocalyptic number.

463968 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 463968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686070).

463968 is an abundant number, since it is smaller than the sum of its proper divisors (908172).

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

463968 is a wasteful number, since it uses less digits than its factorization.

463968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 184 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 463968 is about 681.1519654233. The cubic root of 463968 is about 77.4157530582.

It can be divided in two parts, 463 and 968, that added together give a triangular number (1431 = T₅₃).

The spelling of 463968 in words is "four hundred sixty-three thousand, nine hundred sixty-eight".