452000 has 48 divisors (see below), whose sum is σ = 1120392. Its totient is φ = 179200.

The previous prime is 451987. The next prime is 452009. The reversal of 452000 is 254.

452000 = T₄₅ + T₄₆ + ... + T₁₄₀.

It can be written as a sum of positive squares in 4 ways, for example, as 26896 + 425104 = 164^2 + 652^2 .

It is not an unprimeable number, because it can be changed into a prime (452009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3944 + ... + 4056.

2⁴⁵²⁰⁰⁰ is an apocalyptic number.

452000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560196).

452000 is an abundant number, since it is smaller than the sum of its proper divisors (668392).

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

452000 is a wasteful number, since it uses less digits than its factorization.

452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 452000 is about 672.3094525589. The cubic root of 452000 is about 76.7443027881.

Adding to 452000 its reverse (254), we get a palindrome (452254).

It can be divided in two parts, 45 and 2000, that multiplied together give a square (90000 = 300²).

The spelling of 452000 in words is "four hundred fifty-two thousand".