1020224800 has 216 divisors, whose sum is σ = 3003932736. Its totient is φ = 330823680.

The previous prime is 1020224789. The next prime is 1020224801. The reversal of 1020224800 is 84220201.

1020224800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1020224801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11463156 + ... + 11463244.

It is an arithmetic number, because the mean of its divisors is an integer number (13907096).

Almost surely, 2^1020224800 is an apocalyptic number.

1020224800 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 1020224800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501966368).

1020224800 is an abundant number, since it is smaller than the sum of its proper divisors (1983707936).

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

1020224800 is an equidigital number, since it uses as much as digits as its factorization.

1020224800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1020224800 is about 31940.9580319689. The cubic root of 1020224800 is about 1006.6966547114.

The spelling of 1020224800 in words is "one billion, twenty million, two hundred twenty-four thousand, eight hundred".