1284083280 has 200 divisors, whose sum is σ = 4524246144. Its totient is φ = 337478400.

The previous prime is 1284083279. The next prime is 1284083293. The reversal of 1284083280 is 823804821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 458685 + ... + 461475.

Almost surely, 2^1284083280 is an apocalyptic number.

1284083280 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 1284083280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262123072).

1284083280 is an abundant number, since it is smaller than the sum of its proper divisors (3240162864).

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

1284083280 is a wasteful number, since it uses less digits than its factorization.

1284083280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2887 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1284083280 is about 35834.1077745770. The cubic root of 1284083280 is about 1086.9203760214.

The spelling of 1284083280 in words is "one billion, two hundred eighty-four million, eighty-three thousand, two hundred eighty".