200925312 has 128 divisors (see below), whose sum is σ = 645978240. Its totient is φ = 54018048.

The previous prime is 200925301. The next prime is 200925313. The reversal of 200925312 is 213529002.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (200925313) 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 15 ways as a sum of consecutive naturals, for example, 43498 + ... + 47894.

It is an arithmetic number, because the mean of its divisors is an integer number (5046705).

Almost surely, 2^200925312 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 200925312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322989120).

200925312 is an abundant number, since it is smaller than the sum of its proper divisors (445052928).

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

200925312 is a wasteful number, since it uses less digits than its factorization.

200925312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4438 (or 4426 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 200925312 is about 14174.8125913537. The cubic root of 200925312 is about 585.7040365788.

The spelling of 200925312 in words is "two hundred million, nine hundred twenty-five thousand, three hundred twelve".