1321284480 has 256 divisors, whose sum is σ = 4418150400. Its totient is φ = 335462400.

The previous prime is 1321284463. The next prime is 1321284499. The reversal of 1321284480 is 844821231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4701940 + ... + 4702220.

It is an arithmetic number, because the mean of its divisors is an integer number (17258400).

Almost surely, 2^1321284480 is an apocalyptic number.

1321284480 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 1321284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209075200).

1321284480 is an abundant number, since it is smaller than the sum of its proper divisors (3096865920).

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

1321284480 is a wasteful number, since it uses less digits than its factorization.

1321284480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 1321284480 is about 36349.4770251238. The cubic root of 1321284480 is about 1097.3170094953.

The spelling of 1321284480 in words is "one billion, three hundred twenty-one million, two hundred eighty-four thousand, four hundred eighty".