4574430720 has 480 divisors, whose sum is σ = 17336167200. Its totient is φ = 1143078912.

The previous prime is 4574430683. The next prime is 4574430727. The reversal of 4574430720 is 270344754.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4574430727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19975566 + ... + 19975794.

It is an arithmetic number, because the mean of its divisors is an integer number (36117015).

Almost surely, 2^4574430720 is an apocalyptic number.

4574430720 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 4574430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8668083600).

4574430720 is an abundant number, since it is smaller than the sum of its proper divisors (12761736480).

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

4574430720 is a wasteful number, since it uses less digits than its factorization.

4574430720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 4574430720 is about 67634.5379225733. The cubic root of 4574430720 is about 1660.0162963514.

The spelling of 4574430720 in words is "four billion, five hundred seventy-four million, four hundred thirty thousand, seven hundred twenty".