8200460448 has 72 divisors (see below), whose sum is σ = 23330934900. Its totient is φ = 2732212224.

The previous prime is 8200460371. The next prime is 8200460483. The reversal of 8200460448 is 8440640028.

8200460448 is a `hidden beast` number, since 8 + 2 + 0 + 0 + 4 + 604 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6293566224 + 1906894224 = 79332^2 + 43668^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

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 11 ways as a sum of consecutive naturals, for example, 769138 + ... + 779726.

Almost surely, 2^8200460448 is an apocalyptic number.

It is an amenable number.

8200460448 is an abundant number, since it is smaller than the sum of its proper divisors (15130474452).

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

8200460448 is a wasteful number, since it uses less digits than its factorization.

8200460448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13294 (or 13283 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 8200460448 is about 90556.3937444508. The cubic root of 8200460448 is about 2016.5674187009.

The spelling of 8200460448 in words is "eight billion, two hundred million, four hundred sixty thousand, four hundred forty-eight".