4517398080 has 448 divisors, whose sum is σ = 17642311680. Its totient is φ = 1080926208.

The previous prime is 4517398079. The next prime is 4517398087. The reversal of 4517398080 is 808937154.

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

It is not an unprimeable number, because it can be changed into a prime (4517398087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4155297 + ... + 4156383.

It is an arithmetic number, because the mean of its divisors is an integer number (39380160).

Almost surely, 2^4517398080 is an apocalyptic number.

4517398080 is a gapful number since it is divisible by the number (40) 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 4517398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8821155840).

4517398080 is an abundant number, since it is smaller than the sum of its proper divisors (13124913600).

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

4517398080 is a wasteful number, since it uses less digits than its factorization.

4517398080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 4517398080 is about 67211.5918573575. The cubic root of 4517398080 is about 1653.0885621570.

The spelling of 4517398080 in words is "four billion, five hundred seventeen million, three hundred ninety-eight thousand, eighty".