1452200 has 48 divisors (see below), whose sum is σ = 3465180. Its totient is φ = 565760.

The previous prime is 1452193. The next prime is 1452203. The reversal of 1452200 is 22541.

It can be written as a sum of positive squares in 6 ways, for example, as 749956 + 702244 = 866^2 + 838^2 .

It is not an unprimeable number, because it can be changed into a prime (1452203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10532 + ... + 10668.

2^1452200 is an apocalyptic number.

1452200 is a gapful number since it is divisible by the number (10) 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 1452200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732590).

1452200 is an abundant number, since it is smaller than the sum of its proper divisors (2012980).

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

1452200 is a wasteful number, since it uses less digits than its factorization.

1452200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 1452200 is about 1205.0726119201. The cubic root of 1452200 is about 113.2423337192.

Adding to 1452200 its reverse (22541), we get a palindrome (1474741).

The spelling of 1452200 in words is "one million, four hundred fifty-two thousand, two hundred".