450225 has 48 divisors (see below), whose sum is σ = 892800. Its totient is φ = 221760.

The previous prime is 450223. The next prime is 450227. The reversal of 450225 is 522054.

450225 = 58² + 59² + ... + 115².

It is an interprime number because it is at equal distance from previous prime (450223) and next prime (450227).

It is not a de Polignac number, because 450225 - 2¹ = 450223 is a prime.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 450198 and 450207.

It is not an unprimeable number, because it can be changed into a prime (450223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15511 + ... + 15539.

It is an arithmetic number, because the mean of its divisors is an integer number (18600).

2⁴⁵⁰²²⁵ is an apocalyptic number.

450225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

450225 is a deficient number, since it is larger than the sum of its proper divisors (442575).

450225 is a wasteful number, since it uses less digits than its factorization.

450225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 450225 is about 670.9880773904. The cubic root of 450225 is about 76.6437129352.

Adding to 450225 its reverse (522054), we get a palindrome (972279).

The spelling of 450225 in words is "four hundred fifty thousand, two hundred twenty-five".