1461200 has 60 divisors (see below), whose sum is σ = 3794028. Its totient is φ = 537600.

The previous prime is 1461193. The next prime is 1461209. The reversal of 1461200 is 21641.

It can be written as a sum of positive squares in 6 ways, for example, as 87616 + 1373584 = 296^2 + 1172^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461209) 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, 5060 + ... + 5340.

2^1461200 is an apocalyptic number.

1461200 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 1461200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897014).

1461200 is an abundant number, since it is smaller than the sum of its proper divisors (2332828).

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

1461200 is a wasteful number, since it uses less digits than its factorization.

1461200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1461200 is about 1208.8010589009. The cubic root of 1461200 is about 113.4757916375.

Adding to 1461200 its reverse (21641), we get a palindrome (1482841).

It can be divided in two parts, 1461 and 200, that added together give a palindrome (1661).

The spelling of 1461200 in words is "one million, four hundred sixty-one thousand, two hundred".