1284052000 has 288 divisors, whose sum is σ = 3973656960. Its totient is φ = 399168000.

The previous prime is 1284051983. The next prime is 1284052031. The reversal of 1284052000 is 2504821.

1284052000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3387811 + ... + 3388189.

It is an arithmetic number, because the mean of its divisors is an integer number (13797420).

Almost surely, 2^1284052000 is an apocalyptic number.

1284052000 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 1284052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986828480).

1284052000 is an abundant number, since it is smaller than the sum of its proper divisors (2689604960).

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

1284052000 is a wasteful number, since it uses less digits than its factorization.

1284052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 1284052000 is about 35833.6713162355. The cubic root of 1284052000 is about 1086.9115502321.

Adding to 1284052000 its reverse (2504821), we get a palindrome (1286556821).

The spelling of 1284052000 in words is "one billion, two hundred eighty-four million, fifty-two thousand".