4509006480 has 640 divisors, whose sum is σ = 18238832640. Its totient is φ = 1012746240.

The previous prime is 4509006431. The next prime is 4509006487. The reversal of 4509006480 is 846009054.

4509006480 is a `hidden beast` number, since 4 + 5 + 0 + 9 + 0 + 0 + 648 + 0 = 666.

It is a super-2 number, since 2×4509006480² = 40662278873363980800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4509006487) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20219649 + ... + 20219871.

It is an arithmetic number, because the mean of its divisors is an integer number (28498176).

Almost surely, 2^4509006480 is an apocalyptic number.

4509006480 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 4509006480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9119416320).

4509006480 is an abundant number, since it is smaller than the sum of its proper divisors (13729826160).

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

4509006480 is a wasteful number, since it uses less digits than its factorization.

4509006480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4509006480 is about 67149.1361076224. The cubic root of 4509006480 is about 1652.0643253235.

The spelling of 4509006480 in words is "four billion, five hundred nine million, six thousand, four hundred eighty".