200352240 has 240 divisors, whose sum is σ = 753139296. Its totient is φ = 47308800.

The previous prime is 200352209. The next prime is 200352247. The reversal of 200352240 is 42253002.

200352240 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 (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200352247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 324412 + ... + 325028.

Almost surely, 2^200352240 is an apocalyptic number.

200352240 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 200352240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376569648).

200352240 is an abundant number, since it is smaller than the sum of its proper divisors (552787056).

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

200352240 is a wasteful number, since it uses less digits than its factorization.

200352240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 200352240 is about 14154.5837098800. The cubic root of 200352240 is about 585.1466649580.

The spelling of 200352240 in words is "two hundred million, three hundred fifty-two thousand, two hundred forty".