4230578560 has 128 divisors (see below), whose sum is σ = 10925228160. Its totient is φ = 1557258240.

The previous prime is 4230578509. The next prime is 4230578621. The reversal of 4230578560 is 658750324.

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 (40).

It is a congruent number.

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, 3834969 + ... + 3836071.

It is an arithmetic number, because the mean of its divisors is an integer number (85353345).

Almost surely, 2^4230578560 is an apocalyptic number.

4230578560 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 4230578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5462614080).

4230578560 is an abundant number, since it is smaller than the sum of its proper divisors (6694649600).

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

4230578560 is a wasteful number, since it uses less digits than its factorization.

4230578560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The square root of 4230578560 is about 65042.8978444226. The cubic root of 4230578560 is about 1617.3347629908.

The spelling of 4230578560 in words is "four billion, two hundred thirty million, five hundred seventy-eight thousand, five hundred sixty".