648357408 has 144 divisors (see below), whose sum is σ = 1923831000. Its totient is φ = 206868480.

The previous prime is 648357377. The next prime is 648357491. The reversal of 648357408 is 804753846.

It can be written as a sum of positive squares in 4 ways, for example, as 373726224 + 274631184 = 19332^2 + 16572^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

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, 1244188 + ... + 1244708.

Almost surely, 2^648357408 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 648357408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961915500).

648357408 is an abundant number, since it is smaller than the sum of its proper divisors (1275473592).

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

648357408 is a wasteful number, since it uses less digits than its factorization.

648357408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 648357408 is about 25462.8633111047. The cubic root of 648357408 is about 865.5088090959.

The spelling of 648357408 in words is "six hundred forty-eight million, three hundred fifty-seven thousand, four hundred eight".