200388960 has 216 divisors, whose sum is σ = 716579136. Its totient is φ = 50941440.

The previous prime is 200388931. The next prime is 200388971. The reversal of 200388960 is 69883002.

200388960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2990847 + ... + 2990913.

It is an arithmetic number, because the mean of its divisors is an integer number (3317496).

Almost surely, 2^200388960 is an apocalyptic number.

200388960 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 200388960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358289568).

200388960 is an abundant number, since it is smaller than the sum of its proper divisors (516190176).

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

200388960 is a wasteful number, since it uses less digits than its factorization.

200388960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 200388960 is about 14155.8807567738. The cubic root of 200388960 is about 585.1824107907.

The spelling of 200388960 in words is "two hundred million, three hundred eighty-eight thousand, nine hundred sixty".