1117094480 has 80 divisors (see below), whose sum is σ = 2758283280. Its totient is φ = 419291136.

The previous prime is 1117094477. The next prime is 1117094483. The reversal of 1117094480 is 844907111.

It is an interprime number because it is at equal distance from previous prime (1117094477) and next prime (1117094483).

It can be written as a sum of positive squares in 8 ways, for example, as 732736 + 1116361744 = 856^2 + 33412^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1117094480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1117094483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 538886 + ... + 540954.

It is an arithmetic number, because the mean of its divisors is an integer number (34478541).

Almost surely, 2^1117094480 is an apocalyptic number.

1117094480 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 1117094480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379141640).

1117094480 is an abundant number, since it is smaller than the sum of its proper divisors (1641188800).

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

1117094480 is a wasteful number, since it uses less digits than its factorization.

1117094480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 35.

The square root of 1117094480 is about 33422.9633635320. The cubic root of 1117094480 is about 1037.6000131969.

The spelling of 1117094480 in words is "one billion, one hundred seventeen million, ninety-four thousand, four hundred eighty".