200552400 has 360 divisors, whose sum is σ = 769069080. Its totient is φ = 48168960.

The previous prime is 200552381. The next prime is 200552411. The reversal of 200552400 is 4255002.

It can be written as a sum of positive squares in 12 ways, for example, as 83393424 + 117158976 = 9132^2 + 10824^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1774744 + ... + 1774856.

It is an arithmetic number, because the mean of its divisors is an integer number (2136303).

Almost surely, 2^200552400 is an apocalyptic number.

200552400 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 200552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384534540).

200552400 is an abundant number, since it is smaller than the sum of its proper divisors (568516680).

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

200552400 is a wasteful number, since it uses less digits than its factorization.

200552400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 200552400 is about 14161.6524459542. The cubic root of 200552400 is about 585.3414618393.

The spelling of 200552400 in words is "two hundred million, five hundred fifty-two thousand, four hundred".