1284220800 has 576 divisors, whose sum is σ = 5046172560. Its totient is φ = 309657600.

The previous prime is 1284220781. The next prime is 1284220813. The reversal of 1284220800 is 80224821.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21052770 + ... + 21052830.

Almost surely, 2^1284220800 is an apocalyptic number.

1284220800 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 1284220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523086280).

1284220800 is an abundant number, since it is smaller than the sum of its proper divisors (3761951760).

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

1284220800 is a wasteful number, since it uses less digits than its factorization.

1284220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 131 counting only the distinct ones).

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

The square root of 1284220800 is about 35836.0265654550. The cubic root of 1284220800 is about 1086.9591761929.

The spelling of 1284220800 in words is "one billion, two hundred eighty-four million, two hundred twenty thousand, eight hundred".