1081248480 has 288 divisors, whose sum is σ = 4100634720. Its totient is φ = 265973760.

The previous prime is 1081248457. The next prime is 1081248529. The reversal of 1081248480 is 848421801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 729340 + ... + 730820.

It is an arithmetic number, because the mean of its divisors is an integer number (14238315).

Almost surely, 2^1081248480 is an apocalyptic number.

1081248480 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 1081248480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2050317360).

1081248480 is an abundant number, since it is smaller than the sum of its proper divisors (3019386240).

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

1081248480 is a wasteful number, since it uses less digits than its factorization.

1081248480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1504 counting only the distinct ones).

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

The square root of 1081248480 is about 32882.3429822146. The cubic root of 1081248480 is about 1026.3807622025.

The spelling of 1081248480 in words is "one billion, eighty-one million, two hundred forty-eight thousand, four hundred eighty".