463104 has 72 divisors (see below), whose sum is σ = 1389920. Its totient is φ = 152064.

The previous prime is 463103. The next prime is 463157. The reversal of 463104 is 401364.

463104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (463103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6879 + ... + 6945.

2⁴⁶³¹⁰⁴ 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 463104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694960).

463104 is an abundant number, since it is smaller than the sum of its proper divisors (926816).

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

463104 is an equidigital number, since it uses as much as digits as its factorization.

463104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 463104 is about 680.5174501804. The cubic root of 463104 is about 77.3676687272.

Adding to 463104 its reverse (401364), we get a palindrome (864468).

The spelling of 463104 in words is "four hundred sixty-three thousand, one hundred four".