283472800 has 144 divisors (see below), whose sum is σ = 755623512. Its totient is φ = 103219200.

The previous prime is 283472771. The next prime is 283472809. The reversal of 283472800 is 8274382.

It can be written as a sum of positive squares in 12 ways, for example, as 4048144 + 279424656 = 2012^2 + 16716^2 .

It is not an unprimeable number, because it can be changed into a prime (283472809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1008660 + ... + 1008940.

Almost surely, 2^283472800 is an apocalyptic number.

283472800 is a gapful number since it is divisible by the number (20) 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 283472800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377811756).

283472800 is an abundant number, since it is smaller than the sum of its proper divisors (472150712).

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

283472800 is a wasteful number, since it uses less digits than its factorization.

283472800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 283472800 is about 16836.6504982434. The cubic root of 283472800 is about 656.9068609778.

The spelling of 283472800 in words is "two hundred eighty-three million, four hundred seventy-two thousand, eight hundred".