450632 has 32 divisors (see below), whose sum is σ = 1041600. Its totient is φ = 177984.

The previous prime is 450617. The next prime is 450641. The reversal of 450632 is 236054.

450632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 14.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 419 + ... + 1037.

It is an arithmetic number, because the mean of its divisors is an integer number (32550).

2⁴⁵⁰⁶³² 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 450632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520800).

450632 is an abundant number, since it is smaller than the sum of its proper divisors (590968).

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

450632 is a wasteful number, since it uses less digits than its factorization.

450632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 450632 is about 671.2912929571. The cubic root of 450632 is about 76.6668010920. Note that the first 3 decimals are identical.

Adding to 450632 its reverse (236054), we get a palindrome (686686).

The spelling of 450632 in words is "four hundred fifty thousand, six hundred thirty-two".