4517538480 has 800 divisors, whose sum is σ = 19842729984. Its totient is φ = 927148032.

The previous prime is 4517538407. The next prime is 4517538523. The reversal of 4517538480 is 848357154.

4517538480 is a `hidden beast` number, since 4 + 517 + 53 + 8 + 4 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 27714879 + ... + 27715041.

Almost surely, 2^4517538480 is an apocalyptic number.

4517538480 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 4517538480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9921364992).

4517538480 is an abundant number, since it is smaller than the sum of its proper divisors (15325191504).

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

4517538480 is a wasteful number, since it uses less digits than its factorization.

4517538480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 4517538480 is about 67212.6363119317. The cubic root of 4517538480 is about 1653.1056878878.

The spelling of 4517538480 in words is "four billion, five hundred seventeen million, five hundred thirty-eight thousand, four hundred eighty".