468032 has 28 divisors (see below), whose sum is σ = 950976. Its totient is φ = 228480.

The previous prime is 468029. The next prime is 468049. The reversal of 468032 is 230864.

Added to its reverse (230864) it gives a square (698896 = 836²).

It is a happy number.

468032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 467989 and 468007.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4493 + ... + 4595.

2⁴⁶⁸⁰³² 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 468032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475488).

468032 is an abundant number, since it is smaller than the sum of its proper divisors (482944).

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

468032 is a wasteful number, since it uses less digits than its factorization.

468032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 468032 is about 684.1286428735. The cubic root of 468032 is about 77.6411302843.

Adding to 468032 its reverse (230864), we get a palindrome (698896).

The spelling of 468032 in words is "four hundred sixty-eight thousand, thirty-two".