452205 has 24 divisors (see below), whose sum is σ = 845208. Its totient is φ = 222336.

The previous prime is 452201. The next prime is 452213. The reversal of 452205 is 502254.

It can be written as a sum of positive squares in 4 ways, for example, as 8649 + 443556 = 93^2 + 666^2 .

It is not a de Polignac number, because 452205 - 2² = 452201 is a prime.

It is a super-3 number, since 3×452205³ = 277413335863545375, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199 + ... + 971.

It is an arithmetic number, because the mean of its divisors is an integer number (35217).

2⁴⁵²²⁰⁵ is an apocalyptic number.

452205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

452205 is a deficient number, since it is larger than the sum of its proper divisors (393003).

452205 is a wasteful number, since it uses less digits than its factorization.

452205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 794 counting only the distinct ones).

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

The square root of 452205 is about 672.4618948312. The cubic root of 452205 is about 76.7559032337.

Adding to 452205 its reverse (502254), we get a palindrome (954459).

It can be divided in two parts, 45 and 2205, that multiplied together give a square (99225 = 315²).

The spelling of 452205 in words is "four hundred fifty-two thousand, two hundred five".