463368 has 32 divisors (see below), whose sum is σ = 1188000. Its totient is φ = 150528.

The previous prime is 463363. The next prime is 463387. The reversal of 463368 is 863364.

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 (463363) by changing a digit.

463368 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, 808 + ... + 1256.

It is an arithmetic number, because the mean of its divisors is an integer number (37125).

2⁴⁶³³⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594000).

463368 is an abundant number, since it is smaller than the sum of its proper divisors (724632).

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

463368 is a wasteful number, since it uses less digits than its factorization.

463368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 497 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 463368 is about 680.7113925887. The cubic root of 463368 is about 77.3823675023.

The spelling of 463368 in words is "four hundred sixty-three thousand, three hundred sixty-eight".