205321440 has 96 divisors (see below), whose sum is σ = 662600736. Its totient is φ = 53411840.

The previous prime is 205321439. The next prime is 205321471. The reversal of 205321440 is 44123502.

205321440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14464 + ... + 24896.

It is an arithmetic number, because the mean of its divisors is an integer number (6902091).

Almost surely, 2^205321440 is an apocalyptic number.

205321440 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 205321440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331300368).

205321440 is an abundant number, since it is smaller than the sum of its proper divisors (457279296).

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

205321440 is a wasteful number, since it uses less digits than its factorization.

205321440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10492 (or 10484 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 205321440 is about 14329.0418381691. The cubic root of 205321440 is about 589.9448765890.

Adding to 205321440 its reverse (44123502), we get a palindrome (249444942).

It can be divided in two parts, 205321 and 440, that added together give a triangular number (205761 = T₆₄₁).

The spelling of 205321440 in words is "two hundred five million, three hundred twenty-one thousand, four hundred forty".