205133448 has 128 divisors (see below), whose sum is σ = 578027520. Its totient is φ = 60238080.

The previous prime is 205133447. The next prime is 205133459. The reversal of 205133448 is 844331502.

It is a super-3 number, since 3×205133448³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (205133447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1228261 + ... + 1228427.

It is an arithmetic number, because the mean of its divisors is an integer number (4515840).

Almost surely, 2^205133448 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 205133448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289013760).

205133448 is an abundant number, since it is smaller than the sum of its proper divisors (372894072).

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

205133448 is a wasteful number, since it uses less digits than its factorization.

205133448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 205133448 is about 14322.4805114198. The cubic root of 205133448 is about 589.7647707306.

The spelling of 205133448 in words is "two hundred five million, one hundred thirty-three thousand, four hundred forty-eight".