646425600 has 264 divisors, whose sum is σ = 2253992640. Its totient is φ = 162938880.

The previous prime is 646425583. The next prime is 646425641. The reversal of 646425600 is 6524646.

It is an unprimeable number.

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, 1458979 + ... + 1459421.

Almost surely, 2^646425600 is an apocalyptic number.

646425600 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 646425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126996320).

646425600 is an abundant number, since it is smaller than the sum of its proper divisors (1607567040).

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

646425600 is a wasteful number, since it uses less digits than its factorization.

646425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 646425600 is about 25424.9011797490. The cubic root of 646425600 is about 864.6483473763.

The spelling of 646425600 in words is "six hundred forty-six million, four hundred twenty-five thousand, six hundred".