648282300 has 72 divisors (see below), whose sum is σ = 1885296000. Its totient is φ = 171990720.

The previous prime is 648282293. The next prime is 648282307. The reversal of 648282300 is 3282846.

It is an interprime number because it is at equal distance from previous prime (648282293) and next prime (648282307).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648282307) by changing a digit.

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, 54271 + ... + 65129.

Almost surely, 2^648282300 is an apocalyptic number.

648282300 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 648282300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942648000).

648282300 is an abundant number, since it is smaller than the sum of its proper divisors (1237013700).

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

648282300 is a wasteful number, since it uses less digits than its factorization.

648282300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11075 (or 11068 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 648282300 is about 25461.3884146171. The cubic root of 648282300 is about 865.4753866115.

The spelling of 648282300 in words is "six hundred forty-eight million, two hundred eighty-two thousand, three hundred".