1129280480 has 48 divisors (see below), whose sum is σ = 2687171760. Its totient is φ = 448453632.

The previous prime is 1129280459. The next prime is 1129280501. The reversal of 1129280480 is 840829211.

It is an interprime number because it is at equal distance from previous prime (1129280459) and next prime (1129280501).

It is a super-3 number, since 3×1129280480³ (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1129280480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3149 + ... + 47628.

It is an arithmetic number, because the mean of its divisors is an integer number (55982745).

Almost surely, 2^1129280480 is an apocalyptic number.

1129280480 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 1129280480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343585880).

1129280480 is an abundant number, since it is smaller than the sum of its proper divisors (1557891280).

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

1129280480 is a wasteful number, since it uses less digits than its factorization.

1129280480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50931 (or 50923 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 1129280480 is about 33604.7687092174. The cubic root of 1129280480 is about 1041.3593172242.

The spelling of 1129280480 in words is "one billion, one hundred twenty-nine million, two hundred eighty thousand, four hundred eighty".