451332 has 60 divisors (see below), whose sum is σ = 1355200. Its totient is φ = 128304.

The previous prime is 451331. The next prime is 451337. The reversal of 451332 is 233154.

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 (451331) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2169 + ... + 2367.

2⁴⁵¹³³² is an apocalyptic number.

451332 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677600).

451332 is an abundant number, since it is smaller than the sum of its proper divisors (903868).

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

451332 is a wasteful number, since it uses less digits than its factorization.

451332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 211 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 451332 is about 671.8124738348. The cubic root of 451332 is about 76.7064779580.

Adding to 451332 its reverse (233154), we get a palindrome (684486).

The spelling of 451332 in words is "four hundred fifty-one thousand, three hundred thirty-two".