8601450480 has 640 divisors, whose sum is σ = 36188160000. Its totient is φ = 1834140672.

The previous prime is 8601450443. The next prime is 8601450527. The reversal of 8601450480 is 840541068.

8601450480 is a `hidden beast` number, since 8 + 60 + 14 + 504 + 80 = 666.

8601450480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22694931 + ... + 22695309.

It is an arithmetic number, because the mean of its divisors is an integer number (56544000).

Almost surely, 2^8601450480 is an apocalyptic number.

8601450480 is a gapful number since it is divisible by the number (80) 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 8601450480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18094080000).

8601450480 is an abundant number, since it is smaller than the sum of its proper divisors (27586709520).

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

8601450480 is a wasteful number, since it uses less digits than its factorization.

8601450480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 8601450480 is about 92744.0050892779. The cubic root of 8601450480 is about 2048.9147918752.

The spelling of 8601450480 in words is "eight billion, six hundred one million, four hundred fifty thousand, four hundred eighty".