8052449600 has 84 divisors (see below), whose sum is σ = 21338272284. Its totient is φ = 2973204480.

The previous prime is 8052449557. The next prime is 8052449621. The reversal of 8052449600 is 69442508.

It can be written as a sum of positive squares in 6 ways, for example, as 2749114624 + 5303334976 = 52432^2 + 72824^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172769 + ... + 214368.

It is an arithmetic number, because the mean of its divisors is an integer number (254027051).

Almost surely, 2^8052449600 is an apocalyptic number.

8052449600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8052449600 is an abundant number, since it is smaller than the sum of its proper divisors (13285822684).

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

8052449600 is a wasteful number, since it uses less digits than its factorization.

8052449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387172 (or 387157 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 8052449600 is about 89735.4422733849. The cubic root of 8052449600 is about 2004.3612826937.

The spelling of 8052449600 in words is "eight billion, fifty-two million, four hundred forty-nine thousand, six hundred".