4515200352 has 144 divisors (see below), whose sum is σ = 13909725648. Its totient is φ = 1381063680.

The previous prime is 4515200309. The next prime is 4515200363. The reversal of 4515200352 is 2530025154.

It is a happy number.

4515200352 is a `hidden beast` number, since 451 + 5 + 200 + 3 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 644227 + ... + 651197.

It is an arithmetic number, because the mean of its divisors is an integer number (96595317).

Almost surely, 2^4515200352 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 4515200352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6954862824).

4515200352 is an abundant number, since it is smaller than the sum of its proper divisors (9394525296).

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

4515200352 is a wasteful number, since it uses less digits than its factorization.

4515200352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7173 (or 7162 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 4515200352 is about 67195.2405457410. The cubic root of 4515200352 is about 1652.8204411224.

The spelling of 4515200352 in words is "four billion, five hundred fifteen million, two hundred thousand, three hundred fifty-two".