648480600 has 384 divisors, whose sum is σ = 2390472000. Its totient is φ = 161280000.

The previous prime is 648480563. The next prime is 648480601. The reversal of 648480600 is 6084846.

648480600 is a `hidden beast` number, since 6 + 4 + 8 + 48 + 0 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648480601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6420550 + ... + 6420650.

Almost surely, 2^648480600 is an apocalyptic number.

648480600 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 648480600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195236000).

648480600 is an abundant number, since it is smaller than the sum of its proper divisors (1741991400).

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

648480600 is a wasteful number, since it uses less digits than its factorization.

648480600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 648480600 is about 25465.2822485831. The cubic root of 648480600 is about 865.5636230033.

The spelling of 648480600 in words is "six hundred forty-eight million, four hundred eighty thousand, six hundred".