200400200 has 324 divisors, whose sum is σ = 645105195. Its totient is φ = 57657600.

The previous prime is 200400197. The next prime is 200400203. The reversal of 200400200 is 2004002.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (200400197) and next prime (200400203).

It can be written as a sum of positive squares in 5 ways, for example, as 12545764 + 187854436 = 3542^2 + 13706^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=10010.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (200400203) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 15415394 + ... + 15415406.

Almost surely, 2^200400200 is an apocalyptic number.

200400200 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 200400200

200400200 is an abundant number, since it is smaller than the sum of its proper divisors (444704995).

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

200400200 is a wasteful number, since it uses less digits than its factorization.

200400200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 200400200 is about 14156.2777593547. The cubic root of 200400200 is about 585.1933517250.

Adding to 200400200 its reverse (2004002), we get a palindrome (202404202).

Multiplying 200400200 by its reverse (2004002), we get a square (401602401600400 = 20040020²).

200400200 divided by its reverse (2004002) gives a square (100 = 10²).

The spelling of 200400200 in words is "two hundred million, four hundred thousand, two hundred".