1284420384 has 72 divisors (see below), whose sum is σ = 3933548892. Its totient is φ = 395205120.

The previous prime is 1284420377. The next prime is 1284420413. The reversal of 1284420384 is 4830244821.

It can be written as a sum of positive squares in 2 ways, for example, as 1149210000 + 135210384 = 33900^2 + 11628^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 167787 + ... + 175274.

Almost surely, 2^1284420384 is an apocalyptic number.

It is an amenable number.

1284420384 is an abundant number, since it is smaller than the sum of its proper divisors (2649128508).

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

1284420384 is a wasteful number, since it uses less digits than its factorization.

1284420384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343090 (or 343079 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 1284420384 is about 35838.8111409963. The cubic root of 1284420384 is about 1087.0154823003.

The spelling of 1284420384 in words is "one billion, two hundred eighty-four million, four hundred twenty thousand, three hundred eighty-four".