1284205260 has 96 divisors (see below), whose sum is σ = 4005973440. Its totient is φ = 305206272.

The previous prime is 1284205259. The next prime is 1284205267. The reversal of 1284205260 is 625024821.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1284205267) 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, 5767 + ... + 51006.

It is an arithmetic number, because the mean of its divisors is an integer number (41728890).

Almost surely, 2^1284205260 is an apocalyptic number.

1284205260 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 1284205260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002986720).

1284205260 is an abundant number, since it is smaller than the sum of its proper divisors (2721768180).

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

1284205260 is a wasteful number, since it uses less digits than its factorization.

1284205260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56827 (or 56825 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 1284205260 is about 35835.8097438861. The cubic root of 1284205260 is about 1086.9547918447.

The spelling of 1284205260 in words is "one billion, two hundred eighty-four million, two hundred five thousand, two hundred sixty".