648448416 has 504 divisors, whose sum is σ = 2518586784. Its totient is φ = 159563520.

The previous prime is 648448403. The next prime is 648448429. The reversal of 648448416 is 614844846.

It is an interprime number because it is at equal distance from previous prime (648448403) and next prime (648448429).

It is a tau number, because it is divible by the number of its divisors (504).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 34128855 + ... + 34128873.

It is an arithmetic number, because the mean of its divisors is an integer number (4997196).

Almost surely, 2^648448416 is an apocalyptic number.

648448416 is a gapful number since it is divisible by the number (66) 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 648448416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259293392).

648448416 is an abundant number, since it is smaller than the sum of its proper divisors (1870138368).

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

648448416 is a wasteful number, since it uses less digits than its factorization.

648448416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 42 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 648448416 is about 25464.6503215732. The cubic root of 648448416 is about 865.5493034999.

The spelling of 648448416 in words is "six hundred forty-eight million, four hundred forty-eight thousand, four hundred sixteen".