200466640 has 80 divisors (see below), whose sum is σ = 513449280. Its totient is φ = 72181760.

The previous prime is 200466631. The next prime is 200466641. The reversal of 200466640 is 46664002.

200466640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 200466599 and 200466608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200466641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93096 + ... + 95224.

It is an arithmetic number, because the mean of its divisors is an integer number (6418116).

Almost surely, 2^200466640 is an apocalyptic number.

200466640 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 200466640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256724640).

200466640 is an abundant number, since it is smaller than the sum of its proper divisors (312982640).

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

200466640 is a wasteful number, since it uses less digits than its factorization.

200466640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 200466640 is about 14158.6242269509. The cubic root of 200466640 is about 585.2580155832.

It can be divided in two parts, 2004 and 66640, that added together give a square (68644 = 262²).

The spelling of 200466640 in words is "two hundred million, four hundred sixty-six thousand, six hundred forty".