451152 has 60 divisors (see below), whose sum is σ = 1365364. Its totient is φ = 138240.

The previous prime is 451109. The next prime is 451159. The reversal of 451152 is 251154.

It can be written as a sum of positive squares in 2 ways, for example, as 197136 + 254016 = 444^2 + 504^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 451152.

It is not an unprimeable number, because it can be changed into a prime (451159) by changing a digit.

451152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1752 + ... + 1992.

2⁴⁵¹¹⁵² 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 451152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682682).

451152 is an abundant number, since it is smaller than the sum of its proper divisors (914212).

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

451152 is a wasteful number, since it uses less digits than its factorization.

451152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 259 counting only the distinct ones).

The product of its digits is 200, while the sum is 18.

The square root of 451152 is about 671.6784945195. The cubic root of 451152 is about 76.6962792559.

The spelling of 451152 in words is "four hundred fifty-one thousand, one hundred fifty-two".