648278400 has 384 divisors, whose sum is σ = 2665186560. Its totient is φ = 134553600.

The previous prime is 648278381. The next prime is 648278447. The reversal of 648278400 is 4872846.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 738762 + ... + 739638.

It is an arithmetic number, because the mean of its divisors is an integer number (6940590).

Almost surely, 2^648278400 is an apocalyptic number.

648278400 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 648278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332593280).

648278400 is an abundant number, since it is smaller than the sum of its proper divisors (2016908160).

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

648278400 is a wasteful number, since it uses less digits than its factorization.

648278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 648278400 is about 25461.3118279479. The cubic root of 648278400 is about 865.4736510709.

The spelling of 648278400 in words is "six hundred forty-eight million, two hundred seventy-eight thousand, four hundred".