451728 has 30 divisors (see below), whose sum is σ = 1264614. Its totient is φ = 150528.

The previous prime is 451723. The next prime is 451747. The reversal of 451728 is 827154.

It can be written as a sum of positive squares in only one way, i.e., 451584 + 144 = 672^2 + 12^2 .

It is not an unprimeable number, because it can be changed into a prime (451723) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1425 + ... + 1712.

2⁴⁵¹⁷²⁸ is an apocalyptic number.

451728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

451728 is an abundant number, since it is smaller than the sum of its proper divisors (812886).

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

451728 is a wasteful number, since it uses less digits than its factorization.

451728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3151 (or 3142 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 451728 is about 672.1071343171. The cubic root of 451728 is about 76.7289055617.

The spelling of 451728 in words is "four hundred fifty-one thousand, seven hundred twenty-eight".