1083416460 has 288 divisors, whose sum is σ = 3816227520. Its totient is φ = 228114432.

The previous prime is 1083416419. The next prime is 1083416471. The reversal of 1083416460 is 646143801.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2648736 + ... + 2649144.

It is an arithmetic number, because the mean of its divisors is an integer number (13250790).

Almost surely, 2^1083416460 is an apocalyptic number.

1083416460 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 1083416460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908113760).

1083416460 is an abundant number, since it is smaller than the sum of its proper divisors (2732811060).

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

1083416460 is a wasteful number, since it uses less digits than its factorization.

1083416460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 1083416460 is about 32915.2921907128. The cubic root of 1083416460 is about 1027.0662930034.

The spelling of 1083416460 in words is "one billion, eighty-three million, four hundred sixteen thousand, four hundred sixty".