1284408090 has 384 divisors, whose sum is σ = 4277145600. Its totient is φ = 276623424.

The previous prime is 1284408079. The next prime is 1284408109. The reversal of 1284408090 is 908044821.

1284408090 is a `hidden beast` number, since 128 + 440 + 8 + 0 + 90 = 666.

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 191 ways as a sum of consecutive naturals, for example, 19170237 + ... + 19170303.

It is an arithmetic number, because the mean of its divisors is an integer number (11138400).

Almost surely, 2^1284408090 is an apocalyptic number.

1284408090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1284408090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138572800).

1284408090 is an abundant number, since it is smaller than the sum of its proper divisors (2992737510).

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

1284408090 is an equidigital number, since it uses as much as digits as its factorization.

1284408090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1284408090 is about 35838.6396226196. The cubic root of 1284408090 is about 1087.0120141183.

The spelling of 1284408090 in words is "one billion, two hundred eighty-four million, four hundred eight thousand, ninety".