1129466880 has 264 divisors, whose sum is σ = 3964826112. Its totient is φ = 297271296.

The previous prime is 1129466869. The next prime is 1129466971. The reversal of 1129466880 is 886649211.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5852064 + ... + 5852256.

Almost surely, 2^1129466880 is an apocalyptic number.

1129466880 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 1129466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982413056).

1129466880 is an abundant number, since it is smaller than the sum of its proper divisors (2835359232).

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

1129466880 is a wasteful number, since it uses less digits than its factorization.

1129466880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1129466880 is about 33607.5420106856. The cubic root of 1129466880 is about 1041.4166099580.

The spelling of 1129466880 in words is "one billion, one hundred twenty-nine million, four hundred sixty-six thousand, eight hundred eighty".