648476800 has 96 divisors (see below), whose sum is σ = 1645536420. Its totient is φ = 252334080.

The previous prime is 648476797. The next prime is 648476809. The reversal of 648476800 is 8674846.

It can be written as a sum of positive squares in 6 ways, for example, as 584092224 + 64384576 = 24168^2 + 8024^2 .

It is not an unprimeable number, because it can be changed into a prime (648476809) by changing a digit.

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, 115662 + ... + 121138.

Almost surely, 2^648476800 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 648476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822768210).

648476800 is an abundant number, since it is smaller than the sum of its proper divisors (997059620).

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

648476800 is a wasteful number, since it uses less digits than its factorization.

648476800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5538 (or 5521 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The square root of 648476800 is about 25465.2076370879. The cubic root of 648476800 is about 865.5619323086.

The spelling of 648476800 in words is "six hundred forty-eight million, four hundred seventy-six thousand, eight hundred".