1149415360 has 112 divisors (see below), whose sum is σ = 2831201856. Its totient is φ = 444137472.

The previous prime is 1149415357. The next prime is 1149415411. The reversal of 1149415360 is 635149411.

1149415360 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2284869 + ... + 2285371.

It is an arithmetic number, because the mean of its divisors is an integer number (25278588).

Almost surely, 2^1149415360 is an apocalyptic number.

1149415360 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 1149415360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415600928).

1149415360 is an abundant number, since it is smaller than the sum of its proper divisors (1681786496).

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

1149415360 is a wasteful number, since it uses less digits than its factorization.

1149415360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 1149415360 is about 33903.0287732527. The cubic root of 1149415360 is about 1047.5119806939.

The spelling of 1149415360 in words is "one billion, one hundred forty-nine million, four hundred fifteen thousand, three hundred sixty".