8283481200 has 480 divisors, whose sum is σ = 31659491520. Its totient is φ = 2075258880.

The previous prime is 8283481187. The next prime is 8283481237. The reversal of 8283481200 is 21843828.

It is a happy number.

8283481200 is a `hidden beast` number, since 82 + 83 + 481 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14871322 + ... + 14871878.

It is an arithmetic number, because the mean of its divisors is an integer number (65957274).

Almost surely, 2^8283481200 is an apocalyptic number.

8283481200 is a gapful number since it is divisible by the number (80) 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 8283481200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15829745760).

8283481200 is an abundant number, since it is smaller than the sum of its proper divisors (23376010320).

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

8283481200 is a wasteful number, since it uses less digits than its factorization.

8283481200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8283481200 is about 91013.6319459893. The cubic root of 8283481200 is about 2023.3497666517.

The spelling of 8283481200 in words is "eight billion, two hundred eighty-three million, four hundred eighty-one thousand, two hundred".