200238350400 has 945 divisors, whose sum is σ = 816242930503. Its totient is φ = 48113049600.

The previous prime is 200238350383. The next prime is 200238350407. The reversal of 200238350400 is 4053832002.

The square root of 200238350400 is 447480.

It is a perfect power (a square), and thus also a powerful number.

200238350400 is a `hidden beast` number, since 20 + 0 + 238 + 3 + 5 + 0 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 101873318976 + 98365031424 = 319176^2 + 313632^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (200238350407) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1772020744 + ... + 1772020856.

Almost surely, 2^200238350400 is an apocalyptic number.

200238350400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

200238350400 is the 447480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200238350400

200238350400 is an abundant number, since it is smaller than the sum of its proper divisors (616004580103).

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

200238350400 is a wasteful number, since it uses less digits than its factorization.

200238350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 200238350400 in words is "two hundred billion, two hundred thirty-eight million, three hundred fifty thousand, four hundred".