1284208240 has 80 divisors (see below), whose sum is σ = 3460492800. Its totient is φ = 434085120.

The previous prime is 1284208207. The next prime is 1284208241. The reversal of 1284208240 is 428024821.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1284208241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23611 + ... + 55909.

It is an arithmetic number, because the mean of its divisors is an integer number (43256160).

Almost surely, 2^1284208240 is an apocalyptic number.

1284208240 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 1284208240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730246400).

1284208240 is an abundant number, since it is smaller than the sum of its proper divisors (2176284560).

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

1284208240 is a wasteful number, since it uses less digits than its factorization.

1284208240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32390 (or 32384 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 31.

The square root of 1284208240 is about 35835.8513223838. The cubic root of 1284208240 is about 1086.9556326040.

The spelling of 1284208240 in words is "one billion, two hundred eighty-four million, two hundred eight thousand, two hundred forty".