451328 has 36 divisors (see below), whose sum is σ = 944328. Its totient is φ = 215040.

The previous prime is 451313. The next prime is 451331. The reversal of 451328 is 823154.

451328 is nontrivially palindromic in base 7 and base 15.

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 3 ways as a sum of consecutive naturals, for example, 10475 + ... + 10517.

2⁴⁵¹³²⁸ 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 451328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472164).

451328 is an abundant number, since it is smaller than the sum of its proper divisors (493000).

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

451328 is an equidigital number, since it uses as much as digits as its factorization.

451328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 86 counting only the distinct ones).

The product of its digits is 960, while the sum is 23.

The square root of 451328 is about 671.8094968069. The cubic root of 451328 is about 76.7062513497.

The spelling of 451328 in words is "four hundred fifty-one thousand, three hundred twenty-eight".