4563456480 has 576 divisors, whose sum is σ = 18256492800. Its totient is φ = 1026293760.

The previous prime is 4563456467. The next prime is 4563456481. The reversal of 4563456480 is 846543654.

4563456480 is a `hidden beast` number, since 4 + 5 + 6 + 3 + 4 + 564 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4563456481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17756512 + ... + 17756768.

It is an arithmetic number, because the mean of its divisors is an integer number (31695300).

Almost surely, 2^4563456480 is an apocalyptic number.

4563456480 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 4563456480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9128246400).

4563456480 is an abundant number, since it is smaller than the sum of its proper divisors (13693036320).

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

4563456480 is a wasteful number, since it uses less digits than its factorization.

4563456480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The square root of 4563456480 is about 67553.3602421079. The cubic root of 4563456480 is about 1658.6877518173.

The spelling of 4563456480 in words is "four billion, five hundred sixty-three million, four hundred fifty-six thousand, four hundred eighty".