1284289344 has 560 divisors, whose sum is σ = 4646980800. Its totient is φ = 346374144.

The previous prime is 1284289283. The next prime is 1284289367. The reversal of 1284289344 is 4439824821.

1284289344 is a `hidden beast` number, since 1 + 28 + 4 + 289 + 344 = 666.

It is a super-2 number, since 2×1284289344² = 3298798238223900672, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1284289344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21767587 + ... + 21767645.

It is an arithmetic number, because the mean of its divisors is an integer number (8298180).

Almost surely, 2^1284289344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1284289344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323490400).

1284289344 is an abundant number, since it is smaller than the sum of its proper divisors (3362691456).

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

1284289344 is a wasteful number, since it uses less digits than its factorization.

1284289344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 113 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 1284289344 is about 35836.9829087215. The cubic root of 1284289344 is about 1086.9785143016.

The spelling of 1284289344 in words is "one billion, two hundred eighty-four million, two hundred eighty-nine thousand, three hundred forty-four".