281964816 has 180 divisors, whose sum is σ = 930325500. Its totient is φ = 79478784.

The previous prime is 281964811. The next prime is 281964829. The reversal of 281964816 is 618469182.

281964816 is a `hidden beast` number, since 2 + 81 + 96 + 481 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 110250000 + 171714816 = 10500^2 + 13104^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (281964811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 627760 + ... + 628208.

It is an arithmetic number, because the mean of its divisors is an integer number (5168475).

Almost surely, 2^281964816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 281964816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465162750).

281964816 is an abundant number, since it is smaller than the sum of its proper divisors (648360684).

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

281964816 is a wasteful number, since it uses less digits than its factorization.

281964816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 550 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 281964816 is about 16791.8080027137. The cubic root of 281964816 is about 655.7399450077.

The spelling of 281964816 in words is "two hundred eighty-one million, nine hundred sixty-four thousand, eight hundred sixteen".