1283200 has 48 divisors (see below), whose sum is σ = 3177810. Its totient is φ = 512000.

The previous prime is 1283179. The next prime is 1283207. The reversal of 1283200 is 23821.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1236544 + 46656 = 1112^2 + 216^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1283207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3000 + ... + 3400.

2^1283200 is an apocalyptic number.

1283200 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 1283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588905).

1283200 is an abundant number, since it is smaller than the sum of its proper divisors (1894610).

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

1283200 is an equidigital number, since it uses as much as digits as its factorization.

1283200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1283200 is about 1132.7841806805. The cubic root of 1283200 is about 108.6671099551.

1283200 divided by its sum of digits (16) gives a triangular number (80200 = T₄₀₀).

It can be divided in two parts, 128 and 3200, that multiplied together give a square (409600 = 640²).

The spelling of 1283200 in words is "one million, two hundred eighty-three thousand, two hundred".