4725458560 has 128 divisors (see below), whose sum is σ = 11923718400. Its totient is φ = 1787191296.

The previous prime is 4725458539. The next prime is 4725458587. The reversal of 4725458560 is 658545274.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 4725458560.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1308277 + ... + 1311883.

It is an arithmetic number, because the mean of its divisors is an integer number (93154050).

Almost surely, 2^4725458560 is an apocalyptic number.

4725458560 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 4725458560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5961859200).

4725458560 is an abundant number, since it is smaller than the sum of its proper divisors (7198259840).

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

4725458560 is a wasteful number, since it uses less digits than its factorization.

4725458560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3738 (or 3726 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 46.

The square root of 4725458560 is about 68741.9708766049. The cubic root of 4725458560 is about 1678.0876955990.

The spelling of 4725458560 in words is "four billion, seven hundred twenty-five million, four hundred fifty-eight thousand, five hundred sixty".