463232 has 64 divisors (see below), whose sum is σ = 1175040. Its totient is φ = 176640.

The previous prime is 463231. The next prime is 463237. The reversal of 463232 is 232364.

It is a tau number, because it is divible by the number of its divisors (64).

It is a d-powerful number, because it can be written as 4⁶ + 6⁷ + 2 + 3 + 3¹¹ + 2¹¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9833 + ... + 9879.

It is an arithmetic number, because the mean of its divisors is an integer number (18360).

2⁴⁶³²³² 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 463232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587520).

463232 is an abundant number, since it is smaller than the sum of its proper divisors (711808).

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

463232 is a wasteful number, since it uses less digits than its factorization.

463232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 67 counting only the distinct ones).

The product of its digits is 864, while the sum is 20.

The square root of 463232 is about 680.6114897649. The cubic root of 463232 is about 77.3747961035.

Adding to 463232 its reverse (232364), we get a palindrome (695596).

It can be divided in two parts, 4632 and 32, that added together give a palindrome (4664).

The spelling of 463232 in words is "four hundred sixty-three thousand, two hundred thirty-two".