1024228800 has 420 divisors, whose sum is σ = 4306448080. Its totient is φ = 233902080.

The previous prime is 1024228771. The next prime is 1024228817. The reversal of 1024228800 is 88224201.

1024228800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 906636 + ... + 907764.

Almost surely, 2^1024228800 is an apocalyptic number.

1024228800 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 1024228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153224040).

1024228800 is an abundant number, since it is smaller than the sum of its proper divisors (3282219280).

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

1024228800 is a wasteful number, since it uses less digits than its factorization.

1024228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1024228800 is about 32003.5748003250. The cubic root of 1024228800 is about 1008.0119046213.

The spelling of 1024228800 in words is "one billion, twenty-four million, two hundred twenty-eight thousand, eight hundred".