1191280480 has 96 divisors (see below), whose sum is σ = 3039894144. Its totient is φ = 438552576.

The previous prime is 1191280463. The next prime is 1191280481. The reversal of 1191280480 is 840821911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1191280481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 962422 + ... + 963658.

It is an arithmetic number, because the mean of its divisors is an integer number (31665564).

Almost surely, 2^1191280480 is an apocalyptic number.

1191280480 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 1191280480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519947072).

1191280480 is an abundant number, since it is smaller than the sum of its proper divisors (1848613664).

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

1191280480 is a wasteful number, since it uses less digits than its factorization.

1191280480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 34.

The square root of 1191280480 is about 34514.9312617018. The cubic root of 1191280480 is about 1060.0784562790.

The spelling of 1191280480 in words is "one billion, one hundred ninety-one million, two hundred eighty thousand, four hundred eighty".