200973312 has 110 divisors (see below), whose sum is σ = 600393288. Its totient is φ = 66963456.

The previous prime is 200973301. The next prime is 200973319. The reversal of 200973312 is 213379002.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200973319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 81733 + ... + 84155.

Almost surely, 2^200973312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200973312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300196644).

200973312 is an abundant number, since it is smaller than the sum of its proper divisors (399419976).

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

200973312 is an equidigital number, since it uses as much as digits as its factorization.

200973312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 200973312 is about 14176.5056343233. The cubic root of 200973312 is about 585.7506734029.

It can be divided in two parts, 20097 and 3312, that added together give a square (23409 = 153²).

The spelling of 200973312 in words is "two hundred million, nine hundred seventy-three thousand, three hundred twelve".