450432 has 96 divisors (see below), whose sum is σ = 1432080. Its totient is φ = 135168.

The previous prime is 450431. The next prime is 450451. The reversal of 450432 is 234054.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (450431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19573 + ... + 19595.

2⁴⁵⁰⁴³² 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 450432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716040).

450432 is an abundant number, since it is smaller than the sum of its proper divisors (981648).

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

450432 is a wasteful number, since it uses less digits than its factorization.

450432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 450432 is about 671.1423097973. The cubic root of 450432 is about 76.6554572984.

Adding to 450432 its reverse (234054), we get a palindrome (684486).

The spelling of 450432 in words is "four hundred fifty thousand, four hundred thirty-two".