201409312 has 48 divisors (see below), whose sum is σ = 434081592. Its totient is φ = 91422720.

The previous prime is 201409297. The next prime is 201409349. The reversal of 201409312 is 213904102.

It can be written as a sum of positive squares in 4 ways, for example, as 147768336 + 53640976 = 12156^2 + 7324^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21408 + ... + 29344.

Almost surely, 2^201409312 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 201409312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217040796).

201409312 is an abundant number, since it is smaller than the sum of its proper divisors (232672280).

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

201409312 is a wasteful number, since it uses less digits than its factorization.

201409312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8021 (or 8013 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 201409312 is about 14191.8748585238. The cubic root of 201409312 is about 586.1739515498.

The spelling of 201409312 in words is "two hundred one million, four hundred nine thousand, three hundred twelve".