647424000 has 288 divisors, whose sum is σ = 2341914120. Its totient is φ = 172032000.

The previous prime is 647423977. The next prime is 647424007. The reversal of 647424000 is 424746.

It can be written as a sum of positive squares in 4 ways, for example, as 244859904 + 402564096 = 15648^2 + 20064^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (647424007) 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 23 ways as a sum of consecutive naturals, for example, 2303860 + ... + 2304140.

Almost surely, 2^647424000 is an apocalyptic number.

647424000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 647424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170957060).

647424000 is an abundant number, since it is smaller than the sum of its proper divisors (1694490120).

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

647424000 is a wasteful number, since it uses less digits than its factorization.

647424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 647424000 is about 25444.5278989413. The cubic root of 647424000 is about 865.0932662529.

Adding to 647424000 its reverse (424746), we get a palindrome (647848746).

The spelling of 647424000 in words is "six hundred forty-seven million, four hundred twenty-four thousand".