1129760415 has 72 divisors (see below), whose sum is σ = 2412043920. Its totient is φ = 486065664.

The previous prime is 1129760413. The next prime is 1129760419. The reversal of 1129760415 is 5140679211.

1129760415 is a `hidden beast` number, since 11 + 29 + 7 + 604 + 15 = 666.

It is the 23-rd Motzkin number.

It is not a de Polignac number, because 1129760415 - 2¹ = 1129760413 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1129760415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1129760413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22416 + ... + 52554.

It is an arithmetic number, because the mean of its divisors is an integer number (33500610).

Almost surely, 2^1129760415 is an apocalyptic number.

1129760415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1129760415 is an abundant number, since it is smaller than the sum of its proper divisors (1282283505).

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

1129760415 is a wasteful number, since it uses less digits than its factorization.

1129760415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30181 (or 30171 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1129760415 is about 33611.9088270809. The cubic root of 1129760415 is about 1041.5068194046.

The spelling of 1129760415 in words is "one billion, one hundred twenty-nine million, seven hundred sixty thousand, four hundred fifteen".