464032 has 24 divisors (see below), whose sum is σ = 968436. Its totient is φ = 218112.

The previous prime is 464021. The next prime is 464033. The reversal of 464032 is 230464.

It can be written as a sum of positive squares in 2 ways, for example, as 456976 + 7056 = 676^2 + 84^2 .

It is not an unprimeable number, because it can be changed into a prime (464033) by changing a digit.

464032 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 3 ways as a sum of consecutive naturals, for example, 118 + ... + 970.

2⁴⁶⁴⁰³² 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 464032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484218).

464032 is an abundant number, since it is smaller than the sum of its proper divisors (504404).

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

464032 is a wasteful number, since it uses less digits than its factorization.

464032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 464032 is about 681.1989430409. The cubic root of 464032 is about 77.4193124850.

Adding to 464032 its reverse (230464), we get a palindrome (694496).

The spelling of 464032 in words is "four hundred sixty-four thousand, thirty-two".