283945200 has 360 divisors, whose sum is σ = 1156890240. Its totient is φ = 58867200.

The previous prime is 283945187. The next prime is 283945201. The reversal of 283945200 is 2549382.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (283945201) 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 71 ways as a sum of consecutive naturals, for example, 646581 + ... + 647019.

It is an arithmetic number, because the mean of its divisors is an integer number (3213584).

Almost surely, 2^283945200 is an apocalyptic number.

283945200 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 283945200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578445120).

283945200 is an abundant number, since it is smaller than the sum of its proper divisors (872945040).

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

283945200 is a wasteful number, since it uses less digits than its factorization.

283945200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 283945200 is about 16850.6735770414. The cubic root of 283945200 is about 657.2715644919.

The spelling of 283945200 in words is "two hundred eighty-three million, nine hundred forty-five thousand, two hundred".