1008284800 has 96 divisors (see below), whose sum is σ = 2499750720. Its totient is φ = 401863680.

The previous prime is 1008284737. The next prime is 1008284801. The reversal of 1008284800 is 84828001.

It is a super-2 number, since 2×1008284800² = 2033276475822080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1008284801) 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 11 ways as a sum of consecutive naturals, for example, 1558077 + ... + 1558723.

It is an arithmetic number, because the mean of its divisors is an integer number (26039070).

Almost surely, 2^1008284800 is an apocalyptic number.

1008284800 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 1008284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249875360).

1008284800 is an abundant number, since it is smaller than the sum of its proper divisors (1491465920).

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

1008284800 is an equidigital number, since it uses as much as digits as its factorization.

1008284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 1008284800 is about 31753.5005944227. The cubic root of 1008284800 is about 1002.7540084747.

The spelling of 1008284800 in words is "one billion, eight million, two hundred eighty-four thousand, eight hundred".