648467424 has 288 divisors, whose sum is σ = 2162039040. Its totient is φ = 187488000.

The previous prime is 648467419. The next prime is 648467437. The reversal of 648467424 is 424764846.

648467424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 648467424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9133309 + ... + 9133379.

It is an arithmetic number, because the mean of its divisors is an integer number (7507080).

Almost surely, 2^648467424 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 648467424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081019520).

648467424 is an abundant number, since it is smaller than the sum of its proper divisors (1513571616).

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

648467424 is a wasteful number, since it uses less digits than its factorization.

648467424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 118 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 45.

The square root of 648467424 is about 25465.0235421057. The cubic root of 648467424 is about 865.5577607136.

The spelling of 648467424 in words is "six hundred forty-eight million, four hundred sixty-seven thousand, four hundred twenty-four".