1284213600 has 216 divisors, whose sum is σ = 4559051952. Its totient is φ = 340147200.

The previous prime is 1284213587. The next prime is 1284213613. The reversal of 1284213600 is 63124821.

1284213600 is a `hidden beast` number, since 1 + 2 + 8 + 42 + 13 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (1284213587) and next prime (1284213613).

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 35 ways as a sum of consecutive naturals, for example, 1245085 + ... + 1246115.

It is an arithmetic number, because the mean of its divisors is an integer number (21106722).

Almost surely, 2^1284213600 is an apocalyptic number.

1284213600 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 1284213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279525976).

1284213600 is an abundant number, since it is smaller than the sum of its proper divisors (3274838352).

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

1284213600 is a wasteful number, since it uses less digits than its factorization.

1284213600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1284213600 is about 35835.9261077484. The cubic root of 1284213600 is about 1086.9571448391.

The spelling of 1284213600 in words is "one billion, two hundred eighty-four million, two hundred thirteen thousand, six hundred".