1281480480 has 384 divisors, whose sum is σ = 5295144960. Its totient is φ = 283253760.

The previous prime is 1281480467. The next prime is 1281480509. The reversal of 1281480480 is 840841821.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 936757 + ... + 938123.

It is an arithmetic number, because the mean of its divisors is an integer number (13789440).

Almost surely, 2^1281480480 is an apocalyptic number.

1281480480 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 1281480480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647572480).

1281480480 is an abundant number, since it is smaller than the sum of its proper divisors (4013664480).

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

1281480480 is a wasteful number, since it uses less digits than its factorization.

1281480480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 1281480480 is about 35797.7719977096. The cubic root of 1281480480 is about 1086.1854937874.

The spelling of 1281480480 in words is "one billion, two hundred eighty-one million, four hundred eighty thousand, four hundred eighty".