1284431040 has 224 divisors, whose sum is σ = 4629058560. Its totient is φ = 335121408.

The previous prime is 1284431023. The next prime is 1284431041. The reversal of 1284431040 is 401344821.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1284430995 and 1284431013.

It is not an unprimeable number, because it can be changed into a prime (1284431041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 404499 + ... + 407661.

It is an arithmetic number, because the mean of its divisors is an integer number (20665440).

Almost surely, 2^1284431040 is an apocalyptic number.

1284431040 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 1284431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314529280).

1284431040 is an abundant number, since it is smaller than the sum of its proper divisors (3344627520).

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

1284431040 is a wasteful number, since it uses less digits than its factorization.

1284431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3236 (or 3220 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1284431040 is about 35838.9598063337. The cubic root of 1284431040 is about 1087.0184883787.

Adding to 1284431040 its reverse (401344821), we get a palindrome (1685775861).

The spelling of 1284431040 in words is "one billion, two hundred eighty-four million, four hundred thirty-one thousand, forty".