451125 has 24 divisors (see below), whose sum is σ = 815256. Its totient is φ = 240000.

The previous prime is 451109. The next prime is 451159. The reversal of 451125 is 521154.

It can be written as a sum of positive squares in 4 ways, for example, as 7569 + 443556 = 87^2 + 666^2 .

It is not a de Polignac number, because 451125 - 2⁴ = 451109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 451098 and 451107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 925 + ... + 1325.

It is an arithmetic number, because the mean of its divisors is an integer number (33969).

2⁴⁵¹¹²⁵ is an apocalyptic number.

451125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

451125 is a deficient number, since it is larger than the sum of its proper divisors (364131).

451125 is a wasteful number, since it uses less digits than its factorization.

451125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 409 counting only the distinct ones).

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

The square root of 451125 is about 671.6583953171. The cubic root of 451125 is about 76.6947492166.

Adding to 451125 its reverse (521154), we get a palindrome (972279).

It can be divided in two parts, 451 and 125, that added together give a square (576 = 24²).

The spelling of 451125 in words is "four hundred fifty-one thousand, one hundred twenty-five".