4582438560 has 288 divisors, whose sum is σ = 17987598720. Its totient is φ = 1040615424.

The previous prime is 4582438541. The next prime is 4582438573. The reversal of 4582438560 is 658342854.

4582438560 is a `hidden beast` number, since 4 + 5 + 82 + 4 + 3 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 1641646 + ... + 1644434.

It is an arithmetic number, because the mean of its divisors is an integer number (62456940).

Almost surely, 2^4582438560 is an apocalyptic number.

4582438560 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 4582438560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8993799360).

4582438560 is an abundant number, since it is smaller than the sum of its proper divisors (13405160160).

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

4582438560 is a wasteful number, since it uses less digits than its factorization.

4582438560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2980 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 4582438560 is about 67693.7113770548. The cubic root of 4582438560 is about 1660.9843873487.

The spelling of 4582438560 in words is "four billion, five hundred eighty-two million, four hundred thirty-eight thousand, five hundred sixty".