648738400 has 36 divisors (see below), whose sum is σ = 1583734572. Its totient is φ = 259495040.

The previous prime is 648738383. The next prime is 648738403. The reversal of 648738400 is 4837846.

648738400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648738403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 404662 + ... + 406261.

It is an arithmetic number, because the mean of its divisors is an integer number (43992627).

Almost surely, 2^648738400 is an apocalyptic number.

It is an amenable number.

648738400 is an abundant number, since it is smaller than the sum of its proper divisors (934996172).

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

648738400 is a wasteful number, since it uses less digits than its factorization.

648738400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810943 (or 810930 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 648738400 is about 25470.3435391045. The cubic root of 648738400 is about 865.6783078728.

The spelling of 648738400 in words is "six hundred forty-eight million, seven hundred thirty-eight thousand, four hundred".