1284555360 has 288 divisors, whose sum is σ = 4712885856. Its totient is φ = 292864000.

The previous prime is 1284555353. The next prime is 1284555361. The reversal of 1284555360 is 635554821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1284555361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 986710 + ... + 988010.

It is an arithmetic number, because the mean of its divisors is an integer number (16364187).

Almost surely, 2^1284555360 is an apocalyptic number.

1284555360 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 1284555360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356442928).

1284555360 is an abundant number, since it is smaller than the sum of its proper divisors (3428330496).

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

1284555360 is a wasteful number, since it uses less digits than its factorization.

1284555360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The square root of 1284555360 is about 35840.6941897056. The cubic root of 1284555360 is about 1087.0535580644.

The spelling of 1284555360 in words is "one billion, two hundred eighty-four million, five hundred fifty-five thousand, three hundred sixty".