4574816352 has 288 divisors, whose sum is σ = 14341017600. Its totient is φ = 1377782784.

The previous prime is 4574816303. The next prime is 4574816353. The reversal of 4574816352 is 2536184754.

4574816352 is a `hidden beast` number, since 4 + 5 + 7 + 4 + 8 + 1 + 635 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4574816298 and 4574816307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4574816353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20153263 + ... + 20153489.

It is an arithmetic number, because the mean of its divisors is an integer number (49795200).

Almost surely, 2^4574816352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4574816352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7170508800).

4574816352 is an abundant number, since it is smaller than the sum of its proper divisors (9766201248).

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

4574816352 is a wasteful number, since it uses less digits than its factorization.

4574816352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 407 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 4574816352 is about 67637.3887136397. The cubic root of 4574816352 is about 1660.0629424046.

The spelling of 4574816352 in words is "four billion, five hundred seventy-four million, eight hundred sixteen thousand, three hundred fifty-two".