200453198400 has 1701 divisors, whose sum is σ = 919856305953. Its totient is φ = 41261875200.

The previous prime is 200453198389. The next prime is 200453198411. The reversal of 200453198400 is 4891354002.

The square root of 200453198400 is 447720.

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

200453198400 is a `hidden beast` number, since 20 + 0 + 45 + 3 + 198 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (200453198389) and next prime (200453198411).

It can be written as a sum of positive squares in 13 ways, for example, as 181660078656 + 18793119744 = 426216^2 + 137088^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 4889102380 + ... + 4889102420.

Almost surely, 2^200453198400 is an apocalyptic number.

200453198400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

200453198400 is the 447720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200453198400

200453198400 is an abundant number, since it is smaller than the sum of its proper divisors (719403107553).

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

200453198400 is a wasteful number, since it uses less digits than its factorization.

200453198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 200453198400 by its sum of digits (36), we get a square (7216315142400 = 2686320²).

200453198400 divided by its sum of digits (36) gives a square (5568144400 = 74620²).

The spelling of 200453198400 in words is "two hundred billion, four hundred fifty-three million, one hundred ninety-eight thousand, four hundred".