200464640 has 72 divisors (see below), whose sum is σ = 483201600. Its totient is φ = 79681536.

The previous prime is 200464637. The next prime is 200464673. The reversal of 200464640 is 46464002.

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 7 ways as a sum of consecutive naturals, for example, 254327 + ... + 255113.

Almost surely, 2^200464640 is an apocalyptic number.

200464640 is a gapful number since it is divisible by the number (20) 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 200464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241600800).

200464640 is an abundant number, since it is smaller than the sum of its proper divisors (282736960).

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

200464640 is an equidigital number, since it uses as much as digits as its factorization.

200464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 200464640 is about 14158.5535984436. The cubic root of 200464640 is about 585.2560692578.

The spelling of 200464640 in words is "two hundred million, four hundred sixty-four thousand, six hundred forty".