648460512 has 432 divisors, whose sum is σ = 2381263920. Its totient is φ = 171085824.

The previous prime is 648460493. The next prime is 648460513. The reversal of 648460512 is 215064846.

648460512 is a `hidden beast` number, since 6 + 4 + 84 + 60 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648460513) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12235078 + ... + 12235130.

It is an arithmetic number, because the mean of its divisors is an integer number (5512185).

Almost surely, 2^648460512 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 648460512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190631960).

648460512 is an abundant number, since it is smaller than the sum of its proper divisors (1732803408).

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

648460512 is a wasteful number, since it uses less digits than its factorization.

648460512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 648460512 is about 25464.8878261814. The cubic root of 648460512 is about 865.5546853823.

The spelling of 648460512 in words is "six hundred forty-eight million, four hundred sixty thousand, five hundred twelve".